%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV364-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 03:13:05 PM UTC 2026
% Result : Unsatisfiable 59.03s 12.85s
% Output : Proof 59.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 81
% Syntax : Number of formulae : 342 ( 310 unt; 0 def)
% Number of atoms : 378 ( 235 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 378 ( 342 ~; 36 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 70 ( 70 usr; 27 con; 0-4 aty)
% Number of variables : 818 ( 302 sgn 400 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1394,axiom,
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f1394_nnf,plain,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f1394]) ).
fof(f1394_sk,plain,
! [V_X,V_Y,V_H] :
( c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f1394_nnf]) ).
cnf(c1394,plain,
( c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1394_sk]) ).
cnf(t207,plain,
ifeq(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg),true,c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg),true) = true,
inference(equality_encoding,[status(esa)],[c1394]) ).
cnf(t1096,plain,
ifeq(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oanalz(X3),tc_Message_Omsg),true,c_in(X2,c_Message_Oanalz(X3),tc_Message_Omsg),true) = true,
inference(orient,[status(thm)],[t207]) ).
cnf(f1469,axiom,
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OGets__imp__analz__Spy__dest_0) ).
fof(f1469_nnf,plain,
! [V_evs,V_B,V_X] :
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(nnf_transformation,[status(thm)],[f1469]) ).
fof(f1469_sk,plain,
! [V_evs,V_B,V_X] :
( c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(V_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(skolemisation,[status(esa)],[f1469_nnf]) ).
cnf(c1469,plain,
( c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X1,X2),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(cnf_transformation,[status(esa)],[f1469_sk]) ).
cnf(t244,plain,
ifeq(c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),true,ifeq(c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent),true,c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg),true),true) = true,
inference(equality_encoding,[status(esa)],[c1469]) ).
cnf(t1004,plain,
ifeq(c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),true,ifeq(c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent),true,c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg),true),true) = true,
inference(orient,[status(thm)],[t244]) ).
cnf(f1470,negated_conjecture,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1470_nnf,plain,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(nnf_transformation,[status(thm)],[f1470]) ).
cnf(c1470,plain,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
inference(cnf_transformation,[status(esa)],[f1470_nnf]) ).
cnf(t156,plain,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) = true,
inference(equality_encoding,[status(esa)],[c1470]) ).
cnf(t335,plain,
c_in(c_Event_Oevent_OGets(v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X)),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) = true,
inference(orient,[status(thm)],[t156]) ).
cnf(t1006,plain,
true = ifeq(c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),true,ifeq(true,true,c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),true),true),
inference(cp,[status(thm)],[t1004,t335]) ).
cnf(f1471,negated_conjecture,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1471_nnf,plain,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(nnf_transformation,[status(thm)],[f1471]) ).
cnf(c1471,plain,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(cnf_transformation,[status(esa)],[f1471_nnf]) ).
cnf(t24,plain,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) = true,
inference(equality_encoding,[status(esa)],[c1471]) ).
cnf(t336,plain,
c_in(v_evs,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) = true,
inference(orient,[status(thm)],[t24]) ).
cnf(t2719,plain,
true = ifeq(true,true,ifeq(true,true,c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),true),true),
inference(step,[status(thm)],[t1006,t336]) ).
cnf(t31,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t245,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t31]) ).
cnf(t2720,plain,
true = ifeq(true,true,c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),true),
inference(step,[status(thm)],[t2719,t245]) ).
cnf(t2721,plain,
true = c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(step,[status(thm)],[t2720,t245]) ).
cnf(t2536,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),v_Y),v_X),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t2721]) ).
cnf(t2538,plain,
true = ifeq(true,true,c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),true),
inference(cp,[status(thm)],[t1096,t2536]) ).
cnf(t2722,plain,
true = c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(step,[status(thm)],[t2538,t245]) ).
cnf(f1472,negated_conjecture,
~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1472_nnf,plain,
~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f1472]) ).
fof(f1472_sk,plain,
~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f1472_nnf]) ).
cnf(c1472,plain,
~ c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1472_sk]) ).
cnf(t45,plain,
c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = false,
inference(equality_encoding,[status(esa)],[c1472]) ).
cnf(t1412,plain,
c_in(v_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) = false,
inference(orient,[status(thm)],[t45]) ).
cnf(t2723,plain,
true = false,
inference(step,[status(thm)],[t2722,t1412]) ).
cnf(t2546,plain,
false = true,
inference(orient,[status(thm)],[t2723]) ).
cnf(f65,axiom,
~ c_less(V_n,V_n,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oless__irrefl_0) ).
fof(f65_nnf,plain,
! [V_n] : ~ c_less(V_n,V_n,tc_nat),
inference(nnf_transformation,[status(thm)],[f65]) ).
fof(f65_sk,plain,
! [V_n] : ~ c_less(V_n,V_n,tc_nat),
inference(skolemisation,[status(esa)],[f65_nnf]) ).
cnf(c65,plain,
~ c_less(X0,X0,tc_nat),
inference(cnf_transformation,[status(esa)],[f65_sk]) ).
cnf(f101,axiom,
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OpsubsetE_0) ).
fof(f101_nnf,plain,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
inference(nnf_transformation,[status(thm)],[f101]) ).
fof(f101_sk,plain,
! [V_A,V_B,T_a] :
( ~ c_lessequals(V_B,V_A,tc_set(T_a))
| ~ c_less(V_A,V_B,tc_set(T_a)) ),
inference(skolemisation,[status(esa)],[f101_nnf]) ).
cnf(c101,plain,
( ~ c_lessequals(X1,X0,tc_set(X2))
| ~ c_less(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f101_sk]) ).
cnf(f1163,axiom,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__1__iff1_0) ).
fof(f1163_nnf,plain,
! [V_a_H,T_a] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
inference(nnf_transformation,[status(thm)],[f1163]) ).
fof(f1163_sk,plain,
! [V_a_H,T_a] : c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(V_a_H,T_a),
inference(skolemisation,[status(esa)],[f1163_nnf]) ).
cnf(c1163,plain,
c_Datatype_Ooption_ONone != c_Datatype_Ooption_OSome(X0,X1),
inference(cnf_transformation,[status(esa)],[f1163_sk]) ).
cnf(f1164,axiom,
c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype_Ooption_Odistinct__2__iff1_0) ).
fof(f1164_nnf,plain,
! [V_a_H,T_a] : c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
inference(nnf_transformation,[status(thm)],[f1164]) ).
fof(f1164_sk,plain,
! [V_a_H,T_a] : c_Datatype_Ooption_OSome(V_a_H,T_a) != c_Datatype_Ooption_ONone,
inference(skolemisation,[status(esa)],[f1164_nnf]) ).
cnf(c1164,plain,
c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone,
inference(cnf_transformation,[status(esa)],[f1164_sk]) ).
cnf(f1167,axiom,
c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OAtom__not__Scons__iff1_0) ).
fof(f1167_nnf,plain,
! [V_a,T_a,T_b,V_M,V_N] : c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1167]) ).
fof(f1167_sk,plain,
! [V_a,T_a,T_b,V_M,V_N] : c_Datatype__Universe_OAtom(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(skolemisation,[status(esa)],[f1167_nnf]) ).
cnf(c1167,plain,
c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2),
inference(cnf_transformation,[status(esa)],[f1167_sk]) ).
cnf(f1169,axiom,
c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn0__not__In1__iff1_0) ).
fof(f1169_nnf,plain,
! [V_M,T_a,T_b,V_N] : c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1169]) ).
fof(f1169_sk,plain,
! [V_M,T_a,T_b,V_N] : c_Datatype__Universe_OIn0(V_M,T_a,T_b) != c_Datatype__Universe_OIn1(V_N,T_a,T_b),
inference(skolemisation,[status(esa)],[f1169_nnf]) ).
cnf(c1169,plain,
c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2),
inference(cnf_transformation,[status(esa)],[f1169_sk]) ).
cnf(f1171,axiom,
c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OIn1__not__In0__iff1_0) ).
fof(f1171_nnf,plain,
! [V_N,T_a,T_b,V_M] : c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1171]) ).
fof(f1171_sk,plain,
! [V_N,T_a,T_b,V_M] : c_Datatype__Universe_OIn1(V_N,T_a,T_b) != c_Datatype__Universe_OIn0(V_M,T_a,T_b),
inference(skolemisation,[status(esa)],[f1171_nnf]) ).
cnf(c1171,plain,
c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2),
inference(cnf_transformation,[status(esa)],[f1171_sk]) ).
cnf(f1172,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Numb__iff1_0) ).
fof(f1172_nnf,plain,
! [V_a,T_a,T_b,V_k] : c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1172]) ).
fof(f1172_sk,plain,
! [V_a,T_a,T_b,V_k] : c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
inference(skolemisation,[status(esa)],[f1172_nnf]) ).
cnf(c1172,plain,
c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2),
inference(cnf_transformation,[status(esa)],[f1172_sk]) ).
cnf(f1173,axiom,
c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OLeaf__not__Scons__iff1_0) ).
fof(f1173_nnf,plain,
! [V_a,T_a,T_b,V_M,V_N] : c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1173]) ).
fof(f1173_sk,plain,
! [V_a,T_a,T_b,V_M,V_N] : c_Datatype__Universe_OLeaf(V_a,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(skolemisation,[status(esa)],[f1173_nnf]) ).
cnf(c1173,plain,
c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2),
inference(cnf_transformation,[status(esa)],[f1173_sk]) ).
cnf(f1174,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Leaf__iff1_0) ).
fof(f1174_nnf,plain,
! [V_k,T_a,T_b,V_a] : c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1174]) ).
fof(f1174_sk,plain,
! [V_k,T_a,T_b,V_a] : c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
inference(skolemisation,[status(esa)],[f1174_nnf]) ).
cnf(c1174,plain,
c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2),
inference(cnf_transformation,[status(esa)],[f1174_sk]) ).
cnf(f1175,axiom,
c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_ONumb__not__Scons__iff1_0) ).
fof(f1175_nnf,plain,
! [V_k,T_a,T_b,V_M,V_N] : c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1175]) ).
fof(f1175_sk,plain,
! [V_k,T_a,T_b,V_M,V_N] : c_Datatype__Universe_ONumb(V_k,T_a,T_b) != c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b),
inference(skolemisation,[status(esa)],[f1175_nnf]) ).
cnf(c1175,plain,
c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2),
inference(cnf_transformation,[status(esa)],[f1175_sk]) ).
cnf(f1178,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Atom__iff1_0) ).
fof(f1178_nnf,plain,
! [V_M,V_N,T_a,T_b,V_a] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1178]) ).
fof(f1178_sk,plain,
! [V_M,V_N,T_a,T_b,V_a] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OAtom(V_a,T_a,T_b),
inference(skolemisation,[status(esa)],[f1178_nnf]) ).
cnf(c1178,plain,
c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3),
inference(cnf_transformation,[status(esa)],[f1178_sk]) ).
cnf(f1179,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Leaf__iff1_0) ).
fof(f1179_nnf,plain,
! [V_M,V_N,T_a,T_b,V_a] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1179]) ).
fof(f1179_sk,plain,
! [V_M,V_N,T_a,T_b,V_a] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_OLeaf(V_a,T_a,T_b),
inference(skolemisation,[status(esa)],[f1179_nnf]) ).
cnf(c1179,plain,
c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3),
inference(cnf_transformation,[status(esa)],[f1179_sk]) ).
cnf(f1180,axiom,
c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Datatype__Universe_OScons__not__Numb__iff1_0) ).
fof(f1180_nnf,plain,
! [V_M,V_N,T_a,T_b,V_k] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1180]) ).
fof(f1180_sk,plain,
! [V_M,V_N,T_a,T_b,V_k] : c_Datatype__Universe_OScons(V_M,V_N,T_a,T_b) != c_Datatype__Universe_ONumb(V_k,T_a,T_b),
inference(skolemisation,[status(esa)],[f1180_nnf]) ).
cnf(c1180,plain,
c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3),
inference(cnf_transformation,[status(esa)],[f1180_sk]) ).
cnf(f1187,axiom,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__1__iff1_0) ).
fof(f1187_nnf,plain,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
inference(nnf_transformation,[status(thm)],[f1187]) ).
fof(f1187_sk,plain,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
inference(skolemisation,[status(esa)],[f1187_nnf]) ).
cnf(c1187,plain,
c_Extraction_Osumbool_OLeft != c_Extraction_Osumbool_ORight,
inference(cnf_transformation,[status(esa)],[f1187_sk]) ).
cnf(f1188,axiom,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Extraction_Osumbool_Odistinct__2__iff1_0) ).
fof(f1188_nnf,plain,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
inference(nnf_transformation,[status(thm)],[f1188]) ).
fof(f1188_sk,plain,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
inference(skolemisation,[status(esa)],[f1188_nnf]) ).
cnf(c1188,plain,
c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft,
inference(cnf_transformation,[status(esa)],[f1188_sk]) ).
cnf(f1201,axiom,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Infinite__Set_Onat__not__finite_0) ).
fof(f1201_nnf,plain,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(nnf_transformation,[status(thm)],[f1201]) ).
fof(f1201_sk,plain,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(skolemisation,[status(esa)],[f1201_nnf]) ).
cnf(c1201,plain,
~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)),
inference(cnf_transformation,[status(esa)],[f1201_sk]) ).
cnf(f1209,axiom,
~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil2__notin__lex__iff1_0) ).
fof(f1209_nnf,plain,
! [V_xs,T_a,V_r] : ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
inference(nnf_transformation,[status(thm)],[f1209]) ).
fof(f1209_sk,plain,
! [V_xs,T_a,V_r] : ~ c_in(c_Pair(V_xs,c_List_Olist_ONil,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
inference(skolemisation,[status(esa)],[f1209_nnf]) ).
cnf(c1209,plain,
~ c_in(c_Pair(X0,c_List_Olist_ONil,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
inference(cnf_transformation,[status(esa)],[f1209_sk]) ).
cnf(f1215,axiom,
~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_ONil__notin__lex__iff1_0) ).
fof(f1215_nnf,plain,
! [V_ys,T_a,V_r] : ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
inference(nnf_transformation,[status(thm)],[f1215]) ).
fof(f1215_sk,plain,
! [V_ys,T_a,V_r] : ~ c_in(c_Pair(c_List_Olist_ONil,V_ys,tc_List_Olist(T_a),tc_List_Olist(T_a)),c_List_Olex(V_r,T_a),tc_prod(tc_List_Olist(T_a),tc_List_Olist(T_a))),
inference(skolemisation,[status(esa)],[f1215_nnf]) ).
cnf(c1215,plain,
~ c_in(c_Pair(c_List_Olist_ONil,X0,tc_List_Olist(X1),tc_List_Olist(X1)),c_List_Olex(X2,X1),tc_prod(tc_List_Olist(X1),tc_List_Olist(X1))),
inference(cnf_transformation,[status(esa)],[f1215_sk]) ).
cnf(f1233,axiom,
~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olength__greater__0__conv__iff1_0) ).
fof(f1233_nnf,plain,
! [T_a] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
inference(nnf_transformation,[status(thm)],[f1233]) ).
fof(f1233_sk,plain,
! [T_a] : ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(T_a)),tc_nat),
inference(skolemisation,[status(esa)],[f1233_nnf]) ).
cnf(c1233,plain,
~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat),
inference(cnf_transformation,[status(esa)],[f1233_sk]) ).
cnf(f1237,axiom,
c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__1__iff1_0) ).
fof(f1237_nnf,plain,
! [V_a_H,V_list_H,T_a] : c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
inference(nnf_transformation,[status(thm)],[f1237]) ).
fof(f1237_sk,plain,
! [V_a_H,V_list_H,T_a] : c_List_Olist_ONil != c_List_Olist_OCons(V_a_H,V_list_H,T_a),
inference(skolemisation,[status(esa)],[f1237_nnf]) ).
cnf(c1237,plain,
c_List_Olist_ONil != c_List_Olist_OCons(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f1237_sk]) ).
cnf(f1238,axiom,
c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_List_Olist_Odistinct__2__iff1_0) ).
fof(f1238_nnf,plain,
! [V_a_H,V_list_H,T_a] : c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
inference(nnf_transformation,[status(thm)],[f1238]) ).
fof(f1238_sk,plain,
! [V_a_H,V_list_H,T_a] : c_List_Olist_OCons(V_a_H,V_list_H,T_a) != c_List_Olist_ONil,
inference(skolemisation,[status(esa)],[f1238_nnf]) ).
cnf(c1238,plain,
c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil,
inference(cnf_transformation,[status(esa)],[f1238_sk]) ).
cnf(f1260,axiom,
c_Suc(V_m) != c_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OSuc__not__Zero__iff1_0) ).
fof(f1260_nnf,plain,
! [V_m] : c_Suc(V_m) != c_0,
inference(nnf_transformation,[status(thm)],[f1260]) ).
fof(f1260_sk,plain,
! [V_m] : c_Suc(V_m) != c_0,
inference(skolemisation,[status(esa)],[f1260_nnf]) ).
cnf(c1260,plain,
c_Suc(X0) != c_0,
inference(cnf_transformation,[status(esa)],[f1260_sk]) ).
cnf(f1261,axiom,
c_0 != c_Suc(V_m),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_OZero__not__Suc__iff1_0) ).
fof(f1261_nnf,plain,
! [V_m] : c_0 != c_Suc(V_m),
inference(nnf_transformation,[status(thm)],[f1261]) ).
fof(f1261_sk,plain,
! [V_m] : c_0 != c_Suc(V_m),
inference(skolemisation,[status(esa)],[f1261_nnf]) ).
cnf(c1261,plain,
c_0 != c_Suc(X0),
inference(cnf_transformation,[status(esa)],[f1261_sk]) ).
cnf(f1275,axiom,
~ c_less(c_0,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Oneq0__conv__iff2_0) ).
fof(f1275_nnf,plain,
~ c_less(c_0,c_0,tc_nat),
inference(nnf_transformation,[status(thm)],[f1275]) ).
fof(f1275_sk,plain,
~ c_less(c_0,c_0,tc_nat),
inference(skolemisation,[status(esa)],[f1275_nnf]) ).
cnf(c1275,plain,
~ c_less(c_0,c_0,tc_nat),
inference(cnf_transformation,[status(esa)],[f1275_sk]) ).
cnf(f1276,axiom,
~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less1__iff1_0) ).
fof(f1276_nnf,plain,
! [V_i,V_j] : ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
inference(nnf_transformation,[status(thm)],[f1276]) ).
fof(f1276_sk,plain,
! [V_i,V_j] : ~ c_less(c_plus(V_i,V_j,tc_nat),V_i,tc_nat),
inference(skolemisation,[status(esa)],[f1276_nnf]) ).
cnf(c1276,plain,
~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat),
inference(cnf_transformation,[status(esa)],[f1276_sk]) ).
cnf(f1277,axiom,
~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__add__less2__iff1_0) ).
fof(f1277_nnf,plain,
! [V_j,V_i] : ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
inference(nnf_transformation,[status(thm)],[f1277]) ).
fof(f1277_sk,plain,
! [V_j,V_i] : ~ c_less(c_plus(V_j,V_i,tc_nat),V_i,tc_nat),
inference(skolemisation,[status(esa)],[f1277_nnf]) ).
cnf(c1277,plain,
~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat),
inference(cnf_transformation,[status(esa)],[f1277_sk]) ).
cnf(f1278,axiom,
~ c_less(V_n,c_0,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Nat_Onot__less0__iff1_0) ).
fof(f1278_nnf,plain,
! [V_n] : ~ c_less(V_n,c_0,tc_nat),
inference(nnf_transformation,[status(thm)],[f1278]) ).
fof(f1278_sk,plain,
! [V_n] : ~ c_less(V_n,c_0,tc_nat),
inference(skolemisation,[status(esa)],[f1278_nnf]) ).
cnf(c1278,plain,
~ c_less(X0,c_0,tc_nat),
inference(cnf_transformation,[status(esa)],[f1278_sk]) ).
cnf(f1279,axiom,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__1__iff1_0) ).
fof(f1279_nnf,plain,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
inference(nnf_transformation,[status(thm)],[f1279]) ).
fof(f1279_sk,plain,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
inference(skolemisation,[status(esa)],[f1279_nnf]) ).
cnf(c1279,plain,
c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1,
inference(cnf_transformation,[status(esa)],[f1279_sk]) ).
cnf(f1280,axiom,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Numeral_Obit_Odistinct__2__iff1_0) ).
fof(f1280_nnf,plain,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
inference(nnf_transformation,[status(thm)],[f1280]) ).
fof(f1280_sk,plain,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
inference(skolemisation,[status(esa)],[f1280_nnf]) ).
cnf(c1280,plain,
c_Numeral_Obit_OB1 != c_Numeral_Obit_OB0,
inference(cnf_transformation,[status(esa)],[f1280_sk]) ).
cnf(f1281,axiom,
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Orderings_Oorder__less__irrefl__iff1_0) ).
fof(f1281_nnf,plain,
! [T_a,V_x] :
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(nnf_transformation,[status(thm)],[f1281]) ).
fof(f1281_sk,plain,
! [T_a,V_x] :
( ~ c_less(V_x,V_x,T_a)
| ~ class_Orderings_Oorder(T_a) ),
inference(skolemisation,[status(esa)],[f1281_nnf]) ).
cnf(c1281,plain,
( ~ c_less(X1,X1,X0)
| ~ class_Orderings_Oorder(X0) ),
inference(cnf_transformation,[status(esa)],[f1281_sk]) ).
cnf(f1310,axiom,
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OComplD__dest_0) ).
fof(f1310_nnf,plain,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
inference(nnf_transformation,[status(thm)],[f1310]) ).
fof(f1310_sk,plain,
! [V_c,V_A,T_a] :
( ~ c_in(V_c,c_uminus(V_A,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_A,T_a) ),
inference(skolemisation,[status(esa)],[f1310_nnf]) ).
cnf(c1310,plain,
( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1310_sk]) ).
cnf(f1315,axiom,
( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_B,T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_ODiffE_0) ).
fof(f1315_nnf,plain,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_B,T_a) ),
inference(nnf_transformation,[status(thm)],[f1315]) ).
fof(f1315_sk,plain,
! [V_c,V_B,T_a,V_A] :
( ~ c_in(V_c,c_minus(V_A,V_B,tc_set(T_a)),T_a)
| ~ c_in(V_c,V_B,T_a) ),
inference(skolemisation,[status(esa)],[f1315_nnf]) ).
cnf(c1315,plain,
( ~ c_in(X0,c_minus(X3,X1,tc_set(X2)),X2)
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f1315_sk]) ).
cnf(f1324,axiom,
c_UNIV != c_emptyset,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUNIV__not__empty__iff1_0) ).
fof(f1324_nnf,plain,
c_UNIV != c_emptyset,
inference(nnf_transformation,[status(thm)],[f1324]) ).
fof(f1324_sk,plain,
c_UNIV != c_emptyset,
inference(skolemisation,[status(esa)],[f1324_nnf]) ).
cnf(c1324,plain,
c_UNIV != c_emptyset,
inference(cnf_transformation,[status(esa)],[f1324_sk]) ).
cnf(f1332,axiom,
~ c_in(V_a,c_emptyset,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OemptyE_0) ).
fof(f1332_nnf,plain,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
inference(nnf_transformation,[status(thm)],[f1332]) ).
fof(f1332_sk,plain,
! [V_a,T_a] : ~ c_in(V_a,c_emptyset,T_a),
inference(skolemisation,[status(esa)],[f1332_nnf]) ).
cnf(c1332,plain,
~ c_in(X0,c_emptyset,X1),
inference(cnf_transformation,[status(esa)],[f1332_sk]) ).
cnf(f1336,axiom,
~ c_less(V_A,c_emptyset,tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Onot__psubset__empty__iff1_0) ).
fof(f1336_nnf,plain,
! [V_A,T_a] : ~ c_less(V_A,c_emptyset,tc_set(T_a)),
inference(nnf_transformation,[status(thm)],[f1336]) ).
fof(f1336_sk,plain,
! [V_A,T_a] : ~ c_less(V_A,c_emptyset,tc_set(T_a)),
inference(skolemisation,[status(esa)],[f1336_nnf]) ).
cnf(c1336,plain,
~ c_less(X0,c_emptyset,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f1336_sk]) ).
cnf(f1344,axiom,
c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInl__not__Inr__iff1_0) ).
fof(f1344_nnf,plain,
! [V_a,T_a,T_b,V_b] : c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
inference(nnf_transformation,[status(thm)],[f1344]) ).
fof(f1344_sk,plain,
! [V_a,T_a,T_b,V_b] : c_Sum__Type_OInl(V_a,T_a,T_b) != c_Sum__Type_OInr(V_b,T_b,T_a),
inference(skolemisation,[status(esa)],[f1344_nnf]) ).
cnf(c1344,plain,
c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1),
inference(cnf_transformation,[status(esa)],[f1344_sk]) ).
cnf(f1346,axiom,
c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Sum__Type_OInr__not__Inl__iff1_0) ).
fof(f1346_nnf,plain,
! [V_b,T_b,T_a,V_a] : c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
inference(nnf_transformation,[status(thm)],[f1346]) ).
fof(f1346_sk,plain,
! [V_b,T_b,T_a,V_a] : c_Sum__Type_OInr(V_b,T_b,T_a) != c_Sum__Type_OInl(V_a,T_a,T_b),
inference(skolemisation,[status(esa)],[f1346_nnf]) ).
cnf(c1346,plain,
c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1),
inference(cnf_transformation,[status(esa)],[f1346_sk]) ).
cnf(f1350,axiom,
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Oacyclic__insert__iff1_1) ).
fof(f1350_nnf,plain,
! [V_y,V_x,T_a,V_r] :
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
inference(nnf_transformation,[status(thm)],[f1350]) ).
fof(f1350_sk,plain,
! [V_y,V_x,T_a,V_r] :
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
inference(skolemisation,[status(esa)],[f1350_nnf]) ).
cnf(c1350,plain,
( ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2) ),
inference(cnf_transformation,[status(esa)],[f1350_sk]) ).
cnf(f1353,axiom,
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Wellfounded__Recursion_Owf__insert__iff1_1) ).
fof(f1353_nnf,plain,
! [V_y,V_x,T_a,V_r] :
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
inference(nnf_transformation,[status(thm)],[f1353]) ).
fof(f1353_sk,plain,
! [V_y,V_x,T_a,V_r] :
( ~ c_in(c_Pair(V_x,V_y,T_a,T_a),c_Transitive__Closure_Ortrancl(V_r,T_a),tc_prod(T_a,T_a))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(V_y,V_x,T_a,T_a),V_r,tc_prod(T_a,T_a)),T_a) ),
inference(skolemisation,[status(esa)],[f1353_nnf]) ).
cnf(c1353,plain,
( ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
| ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2) ),
inference(cnf_transformation,[status(esa)],[f1353_sk]) ).
cnf(f1357,axiom,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OServer_A_58_Abad_A_61_61_62_AR_0) ).
fof(f1357_nnf,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(nnf_transformation,[status(thm)],[f1357]) ).
fof(f1357_sk,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(skolemisation,[status(esa)],[f1357_nnf]) ).
cnf(c1357,plain,
~ c_in(c_Message_Oagent_OServer,c_Event_Obad,tc_Message_Oagent),
inference(cnf_transformation,[status(esa)],[f1357_sk]) ).
cnf(f1360,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__1__iff1_0) ).
fof(f1360_nnf,plain,
! [V_agent1,V_agent2,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
inference(nnf_transformation,[status(thm)],[f1360]) ).
fof(f1360_sk,plain,
! [V_agent1,V_agent2,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_OGets(V_agent_H,V_msg_H),
inference(skolemisation,[status(esa)],[f1360_nnf]) ).
cnf(c1360,plain,
c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_OGets(X3,X4),
inference(cnf_transformation,[status(esa)],[f1360_sk]) ).
cnf(f1361,axiom,
c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__2__iff1_0) ).
fof(f1361_nnf,plain,
! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
inference(nnf_transformation,[status(thm)],[f1361]) ).
fof(f1361_sk,plain,
! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_OGets(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
inference(skolemisation,[status(esa)],[f1361_nnf]) ).
cnf(c1361,plain,
c_Event_Oevent_OGets(X0,X1) != c_Event_Oevent_OSays(X2,X3,X4),
inference(cnf_transformation,[status(esa)],[f1361_sk]) ).
cnf(f1362,axiom,
c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__3__iff1_0) ).
fof(f1362_nnf,plain,
! [V_agent1,V_agent2,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
inference(nnf_transformation,[status(thm)],[f1362]) ).
fof(f1362_sk,plain,
! [V_agent1,V_agent2,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
inference(skolemisation,[status(esa)],[f1362_nnf]) ).
cnf(c1362,plain,
c_Event_Oevent_OSays(X0,X1,X2) != c_Event_Oevent_ONotes(X3,X4),
inference(cnf_transformation,[status(esa)],[f1362_sk]) ).
cnf(f1363,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__4__iff1_0) ).
fof(f1363_nnf,plain,
! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
inference(nnf_transformation,[status(thm)],[f1363]) ).
fof(f1363_sk,plain,
! [V_agent_H,V_msg_H,V_agent1,V_agent2,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OSays(V_agent1,V_agent2,V_msg),
inference(skolemisation,[status(esa)],[f1363_nnf]) ).
cnf(c1363,plain,
c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_OSays(X2,X3,X4),
inference(cnf_transformation,[status(esa)],[f1363_sk]) ).
cnf(f1364,axiom,
c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__5__iff1_0) ).
fof(f1364_nnf,plain,
! [V_agent,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
inference(nnf_transformation,[status(thm)],[f1364]) ).
fof(f1364_sk,plain,
! [V_agent,V_msg,V_agent_H,V_msg_H] : c_Event_Oevent_OGets(V_agent,V_msg) != c_Event_Oevent_ONotes(V_agent_H,V_msg_H),
inference(skolemisation,[status(esa)],[f1364_nnf]) ).
cnf(c1364,plain,
c_Event_Oevent_OGets(X0,X1) != c_Event_Oevent_ONotes(X2,X3),
inference(cnf_transformation,[status(esa)],[f1364_sk]) ).
cnf(f1365,axiom,
c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oevent_Odistinct__6__iff1_0) ).
fof(f1365_nnf,plain,
! [V_agent_H,V_msg_H,V_agent,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
inference(nnf_transformation,[status(thm)],[f1365]) ).
fof(f1365_sk,plain,
! [V_agent_H,V_msg_H,V_agent,V_msg] : c_Event_Oevent_ONotes(V_agent_H,V_msg_H) != c_Event_Oevent_OGets(V_agent,V_msg),
inference(skolemisation,[status(esa)],[f1365_nnf]) ).
cnf(c1365,plain,
c_Event_Oevent_ONotes(X0,X1) != c_Event_Oevent_OGets(X2,X3),
inference(cnf_transformation,[status(esa)],[f1365_sk]) ).
cnf(f1380,axiom,
c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__1__iff1_0) ).
fof(f1380_nnf,plain,
! [V_A,V_X,V_Y] : c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1380]) ).
fof(f1380_sk,plain,
! [V_A,V_X,V_Y] : c_Message_Omsg_OAgent(V_A) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1380_nnf]) ).
cnf(c1380,plain,
c_Message_Omsg_OAgent(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f1380_sk]) ).
cnf(f1381,axiom,
c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__2__iff1_0) ).
fof(f1381_nnf,plain,
! [V_N,V_X,V_Y] : c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1381]) ).
fof(f1381_sk,plain,
! [V_N,V_X,V_Y] : c_Message_Omsg_ONonce(V_N) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1381_nnf]) ).
cnf(c1381,plain,
c_Message_Omsg_ONonce(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f1381_sk]) ).
cnf(f1382,axiom,
c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__3__iff1_0) ).
fof(f1382_nnf,plain,
! [V_N,V_X,V_Y] : c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1382]) ).
fof(f1382_sk,plain,
! [V_N,V_X,V_Y] : c_Message_Omsg_ONumber(V_N) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1382_nnf]) ).
cnf(c1382,plain,
c_Message_Omsg_ONumber(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f1382_sk]) ).
cnf(f1383,axiom,
c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__4__iff1_0) ).
fof(f1383_nnf,plain,
! [V_K,V_X,V_Y] : c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1383]) ).
fof(f1383_sk,plain,
! [V_K,V_X,V_Y] : c_Message_Omsg_OKey(V_K) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1383_nnf]) ).
cnf(c1383,plain,
c_Message_Omsg_OKey(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f1383_sk]) ).
cnf(f1384,axiom,
c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__5__iff1_0) ).
fof(f1384_nnf,plain,
! [V_Z,V_X,V_Y] : c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1384]) ).
fof(f1384_sk,plain,
! [V_Z,V_X,V_Y] : c_Message_Omsg_OHash(V_Z) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1384_nnf]) ).
cnf(c1384,plain,
c_Message_Omsg_OHash(X0) != c_Message_OHPair(X1,X2),
inference(cnf_transformation,[status(esa)],[f1384_sk]) ).
cnf(f1385,axiom,
c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHPair__neqs__6__iff1_0) ).
fof(f1385_nnf,plain,
! [V_K,V_X_H,V_X,V_Y] : c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y),
inference(nnf_transformation,[status(thm)],[f1385]) ).
fof(f1385_sk,plain,
! [V_K,V_X_H,V_X,V_Y] : c_Message_Omsg_OCrypt(V_K,V_X_H) != c_Message_OHPair(V_X,V_Y),
inference(skolemisation,[status(esa)],[f1385_nnf]) ).
cnf(c1385,plain,
c_Message_Omsg_OCrypt(X0,X1) != c_Message_OHPair(X2,X3),
inference(cnf_transformation,[status(esa)],[f1385_sk]) ).
cnf(f1386,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AAgent_AA_A_61_61_62_AR_0) ).
fof(f1386_nnf,plain,
! [V_X,V_Y,V_A] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A),
inference(nnf_transformation,[status(thm)],[f1386]) ).
fof(f1386_sk,plain,
! [V_X,V_Y,V_A] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OAgent(V_A),
inference(skolemisation,[status(esa)],[f1386_nnf]) ).
cnf(c1386,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_OAgent(X2),
inference(cnf_transformation,[status(esa)],[f1386_sk]) ).
cnf(f1387,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_ACrypt_AK_AX_H_A_61_61_62_AR_0) ).
fof(f1387_nnf,plain,
! [V_X,V_Y,V_K,V_X_H] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H),
inference(nnf_transformation,[status(thm)],[f1387]) ).
fof(f1387_sk,plain,
! [V_X,V_Y,V_K,V_X_H] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OCrypt(V_K,V_X_H),
inference(skolemisation,[status(esa)],[f1387_nnf]) ).
cnf(c1387,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_OCrypt(X2,X3),
inference(cnf_transformation,[status(esa)],[f1387_sk]) ).
cnf(f1388,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AHash_AZ_A_61_61_62_AR_0) ).
fof(f1388_nnf,plain,
! [V_X,V_Y,V_Z] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z),
inference(nnf_transformation,[status(thm)],[f1388]) ).
fof(f1388_sk,plain,
! [V_X,V_Y,V_Z] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OHash(V_Z),
inference(skolemisation,[status(esa)],[f1388_nnf]) ).
cnf(c1388,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_OHash(X2),
inference(cnf_transformation,[status(esa)],[f1388_sk]) ).
cnf(f1389,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_AKey_AK_A_61_61_62_AR_0) ).
fof(f1389_nnf,plain,
! [V_X,V_Y,V_K] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K),
inference(nnf_transformation,[status(thm)],[f1389]) ).
fof(f1389_sk,plain,
! [V_X,V_Y,V_K] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_OKey(V_K),
inference(skolemisation,[status(esa)],[f1389_nnf]) ).
cnf(c1389,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_OKey(X2),
inference(cnf_transformation,[status(esa)],[f1389_sk]) ).
cnf(f1390,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_ANonce_AN_A_61_61_62_AR_0) ).
fof(f1390_nnf,plain,
! [V_X,V_Y,V_N] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N),
inference(nnf_transformation,[status(thm)],[f1390]) ).
fof(f1390_sk,plain,
! [V_X,V_Y,V_N] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONonce(V_N),
inference(skolemisation,[status(esa)],[f1390_nnf]) ).
cnf(c1390,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_ONonce(X2),
inference(cnf_transformation,[status(esa)],[f1390_sk]) ).
cnf(f1391,axiom,
c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OHash_91X_93_AY_A_61_ANumber_AN_A_61_61_62_AR_0) ).
fof(f1391_nnf,plain,
! [V_X,V_Y,V_N] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N),
inference(nnf_transformation,[status(thm)],[f1391]) ).
fof(f1391_sk,plain,
! [V_X,V_Y,V_N] : c_Message_OHPair(V_X,V_Y) != c_Message_Omsg_ONumber(V_N),
inference(skolemisation,[status(esa)],[f1391_nnf]) ).
cnf(c1391,plain,
c_Message_OHPair(X0,X1) != c_Message_Omsg_ONumber(X2),
inference(cnf_transformation,[status(esa)],[f1391_sk]) ).
cnf(f1407,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__1__iff1_0) ).
fof(f1407_nnf,plain,
! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
inference(nnf_transformation,[status(thm)],[f1407]) ).
fof(f1407_sk,plain,
! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
inference(skolemisation,[status(esa)],[f1407_nnf]) ).
cnf(c1407,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(esa)],[f1407_sk]) ).
cnf(f1408,axiom,
c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__2__iff1_0) ).
fof(f1408_nnf,plain,
! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
inference(nnf_transformation,[status(thm)],[f1408]) ).
fof(f1408_sk,plain,
! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
inference(skolemisation,[status(esa)],[f1408_nnf]) ).
cnf(c1408,plain,
c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer,
inference(cnf_transformation,[status(esa)],[f1408_sk]) ).
cnf(f1409,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).
fof(f1409_nnf,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(nnf_transformation,[status(thm)],[f1409]) ).
fof(f1409_sk,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(skolemisation,[status(esa)],[f1409_nnf]) ).
cnf(c1409,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(esa)],[f1409_sk]) ).
cnf(f1410,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4__iff1_0) ).
fof(f1410_nnf,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(nnf_transformation,[status(thm)],[f1410]) ).
fof(f1410_sk,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(skolemisation,[status(esa)],[f1410_nnf]) ).
cnf(c1410,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(cnf_transformation,[status(esa)],[f1410_sk]) ).
cnf(f1411,axiom,
c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__5__iff1_0) ).
fof(f1411_nnf,plain,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
inference(nnf_transformation,[status(thm)],[f1411]) ).
fof(f1411_sk,plain,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
inference(skolemisation,[status(esa)],[f1411_nnf]) ).
cnf(c1411,plain,
c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(esa)],[f1411_sk]) ).
cnf(f1412,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__6__iff1_0) ).
fof(f1412_nnf,plain,
! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
inference(nnf_transformation,[status(thm)],[f1412]) ).
fof(f1412_sk,plain,
! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
inference(skolemisation,[status(esa)],[f1412_nnf]) ).
cnf(c1412,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(esa)],[f1412_sk]) ).
cnf(f1427,axiom,
~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts__emptyE_0) ).
fof(f1427_nnf,plain,
! [V_X] : ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f1427]) ).
fof(f1427_sk,plain,
! [V_X] : ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f1427_nnf]) ).
cnf(c1427,plain,
~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1427_sk]) ).
cnf(f1443,axiom,
~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_ONonce__notin__initState__iff1_0) ).
fof(f1443_nnf,plain,
! [V_N,V_B] : ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f1443]) ).
fof(f1443_sk,plain,
! [V_N,V_B] : ~ c_in(c_Message_Omsg_ONonce(V_N),c_Message_Oparts(c_Event_OinitState(V_B)),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f1443_nnf]) ).
cnf(c1443,plain,
~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oparts(c_Event_OinitState(X1)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1443_sk]) ).
cnf(f1447,axiom,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__1__iff1_0) ).
fof(f1447_nnf,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(nnf_transformation,[status(thm)],[f1447]) ).
fof(f1447_sk,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(skolemisation,[status(esa)],[f1447_nnf]) ).
cnf(c1447,plain,
c_Public_Okeymode_OSignature != c_Public_Okeymode_OEncryption,
inference(cnf_transformation,[status(esa)],[f1447_sk]) ).
cnf(f1448,axiom,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Okeymode_Odistinct__2__iff1_0) ).
fof(f1448_nnf,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(nnf_transformation,[status(thm)],[f1448]) ).
fof(f1448_sk,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(skolemisation,[status(esa)],[f1448_nnf]) ).
cnf(c1448,plain,
c_Public_Okeymode_OEncryption != c_Public_Okeymode_OSignature,
inference(cnf_transformation,[status(esa)],[f1448_sk]) ).
cnf(f1449,axiom,
~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__priK__iff1_0) ).
fof(f1449_nnf,plain,
! [V_b,V_A] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat),
inference(nnf_transformation,[status(thm)],[f1449]) ).
fof(f1449_sk,plain,
! [V_b,V_A] : ~ c_in(c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),c_Message_OsymKeys,tc_nat),
inference(skolemisation,[status(esa)],[f1449_nnf]) ).
cnf(c1449,plain,
~ c_in(c_Message_OinvKey(c_Public_OpublicKey(X0,X1)),c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[status(esa)],[f1449_sk]) ).
cnf(f1450,axiom,
~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_Onot__symKeys__pubK__iff1_0) ).
fof(f1450_nnf,plain,
! [V_b,V_A] : ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat),
inference(nnf_transformation,[status(thm)],[f1450]) ).
fof(f1450_sk,plain,
! [V_b,V_A] : ~ c_in(c_Public_OpublicKey(V_b,V_A),c_Message_OsymKeys,tc_nat),
inference(skolemisation,[status(esa)],[f1450_nnf]) ).
cnf(c1450,plain,
~ c_in(c_Public_OpublicKey(X0,X1),c_Message_OsymKeys,tc_nat),
inference(cnf_transformation,[status(esa)],[f1450_sk]) ).
cnf(f1452,axiom,
c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpriK__neq__shrK__iff1_0) ).
fof(f1452_nnf,plain,
! [V_A,V_b,V_C] : c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)),
inference(nnf_transformation,[status(thm)],[f1452]) ).
fof(f1452_sk,plain,
! [V_A,V_b,V_C] : c_Public_OshrK(V_A) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_C)),
inference(skolemisation,[status(esa)],[f1452_nnf]) ).
cnf(c1452,plain,
c_Public_OshrK(X0) != c_Message_OinvKey(c_Public_OpublicKey(X1,X2)),
inference(cnf_transformation,[status(esa)],[f1452_sk]) ).
cnf(f1453,axiom,
c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OprivateKey_Ab_AA_A_61_Apubli_h4fee0ff4557499f3) ).
fof(f1453_nnf,plain,
! [V_b,V_A,V_c,V_A_H] : c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H),
inference(nnf_transformation,[status(thm)],[f1453]) ).
fof(f1453_sk,plain,
! [V_b,V_A,V_c,V_A_H] : c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)) != c_Public_OpublicKey(V_c,V_A_H),
inference(skolemisation,[status(esa)],[f1453_nnf]) ).
cnf(c1453,plain,
c_Message_OinvKey(c_Public_OpublicKey(X0,X1)) != c_Public_OpublicKey(X2,X3),
inference(cnf_transformation,[status(esa)],[f1453_sk]) ).
cnf(f1455,axiom,
c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpubK__neq__shrK__iff1_0) ).
fof(f1455_nnf,plain,
! [V_A,V_b,V_C] : c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
inference(nnf_transformation,[status(thm)],[f1455]) ).
fof(f1455_sk,plain,
! [V_A,V_b,V_C] : c_Public_OshrK(V_A) != c_Public_OpublicKey(V_b,V_C),
inference(skolemisation,[status(esa)],[f1455_nnf]) ).
cnf(c1455,plain,
c_Public_OshrK(X0) != c_Public_OpublicKey(X1,X2),
inference(cnf_transformation,[status(esa)],[f1455_sk]) ).
cnf(f1460,axiom,
c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OpublicKey__neq__privateKey__iff1_0) ).
fof(f1460_nnf,plain,
! [V_c,V_A_H,V_b,V_A] : c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),
inference(nnf_transformation,[status(thm)],[f1460]) ).
fof(f1460_sk,plain,
! [V_c,V_A_H,V_b,V_A] : c_Public_OpublicKey(V_c,V_A_H) != c_Message_OinvKey(c_Public_OpublicKey(V_b,V_A)),
inference(skolemisation,[status(esa)],[f1460_nnf]) ).
cnf(c1460,plain,
c_Public_OpublicKey(X0,X1) != c_Message_OinvKey(c_Public_OpublicKey(X2,X3)),
inference(cnf_transformation,[status(esa)],[f1460_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c65,c101,c1163,c1164,c1167,c1169,c1171,c1172,c1173,c1174,c1175,c1178,c1179,c1180,c1187,c1188,c1201,c1209,c1215,c1233,c1237,c1238,c1260,c1261,c1275,c1276,c1277,c1278,c1279,c1280,c1281,c1310,c1315,c1324,c1332,c1336,c1344,c1346,c1350,c1353,c1357,c1360,c1361,c1362,c1363,c1364,c1365,c1380,c1381,c1382,c1383,c1384,c1385,c1386,c1387,c1388,c1389,c1390,c1391,c1407,c1408,c1409,c1410,c1411,c1412,c1427,c1443,c1447,c1448,c1449,c1450,c1452,c1453,c1455,c1460,c1472]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2546]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV364-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/5.36 % Computer : n002.cluster.edu
% 0.10/5.36 % Model : x86_64 x86_64
% 0.10/5.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.36 % Memory : 8046.5625MB
% 0.10/5.36 % OS : Linux 6.8.0-71-generic
% 0.10/5.36 % CPULimit : 300
% 0.10/5.36 % WCLimit : 300
% 0.10/5.36 % DateTime : Thu Sep 24 19:25:12 UTC 2026
% 0.10/5.37 % CPUTime :
% 0.10/5.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 59.03/12.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 59.03/12.85 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------