%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n018.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 03:12:34 PM UTC 2026
% Result : Unsatisfiable 43.42s 6.16s
% Output : Proof 43.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 58
% Syntax : Number of formulae : 266 ( 230 unt; 0 def)
% Number of atoms : 306 ( 167 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 274 ( 234 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 49 ( 49 usr; 20 con; 0-4 aty)
% Number of variables : 535 ( 139 sgn 240 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f1388,axiom,
( c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_Osubset__trans_0) ).
fof(f1388_nnf,plain,
! [V_B,V_C,T_a,V_A] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
inference(nnf_transformation,[status(thm)],[f1388]) ).
fof(f1388_sk,plain,
! [V_B,V_C,T_a,V_A] :
( c_lessequals(V_A,V_C,tc_set(T_a))
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_lessequals(V_B,V_C,tc_set(T_a)) ),
inference(skolemisation,[status(esa)],[f1388_nnf]) ).
cnf(c1388,plain,
( c_lessequals(X3,X1,tc_set(X2))
| ~ c_lessequals(X3,X0,tc_set(X2))
| ~ c_lessequals(X0,X1,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f1388_sk]) ).
cnf(t135,plain,
ifeq(c_lessequals(X1,X2,tc_set(X3)),true,ifeq(c_lessequals(X4,X1,tc_set(X3)),true,c_lessequals(X4,X2,tc_set(X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c1388]) ).
cnf(t740,plain,
ifeq(c_lessequals(X1,X2,tc_set(X3)),true,ifeq(c_lessequals(X4,X1,tc_set(X3)),true,c_lessequals(X4,X2,tc_set(X3)),true),true) = true,
inference(orient,[status(thm)],[t135]) ).
cnf(f1390,negated_conjecture,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1390_nnf,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(nnf_transformation,[status(thm)],[f1390]) ).
cnf(c1390,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1390_nnf]) ).
cnf(t22,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) = true,
inference(equality_encoding,[status(esa)],[c1390]) ).
cnf(t258,plain,
c_lessequals(v_H,c_Message_Oanalz(v_H_H),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t22]) ).
cnf(t756,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(v_H_H),X1,tc_set(tc_Message_Omsg)),true,ifeq(true,true,c_lessequals(v_H,X1,tc_set(tc_Message_Omsg)),true),true),
inference(cp,[status(thm)],[t740,t258]) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t147,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t18]) ).
cnf(t5335,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(v_H_H),X1,tc_set(tc_Message_Omsg)),true,c_lessequals(v_H,X1,tc_set(tc_Message_Omsg)),true),
inference(step,[status(thm)],[t756,t147]) ).
cnf(t4527,plain,
ifeq(c_lessequals(c_Message_Oanalz(v_H_H),X1,tc_set(tc_Message_Omsg)),true,c_lessequals(v_H,X1,tc_set(tc_Message_Omsg)),true) = true,
inference(orient,[status(thm)],[t5335]) ).
cnf(t23,plain,
ifeq(not(X1),true,X1,false) = false,
introduced(definition) ).
cnf(t956,plain,
ifeq(not(X1),true,X1,false) = false,
inference(orient,[status(thm)],[t23]) ).
cnf(f1391,negated_conjecture,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1391_nnf,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(nnf_transformation,[status(thm)],[f1391]) ).
fof(f1391_sk,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(skolemisation,[status(esa)],[f1391_nnf]) ).
cnf(c1391,plain,
( ~ c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))
| ~ c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1391_sk]) ).
cnf(t136,plain,
or(not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),not(c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))) = true,
inference(equality_encoding,[status(esa)],[c1391]) ).
cnf(t911,plain,
or(not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),not(c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)))) = true,
inference(orient,[status(thm)],[t136]) ).
cnf(f1389,negated_conjecture,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1389_nnf,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(nnf_transformation,[status(thm)],[f1389]) ).
cnf(c1389,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)),
inference(cnf_transformation,[status(esa)],[f1389_nnf]) ).
cnf(t21,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) = true,
inference(equality_encoding,[status(esa)],[c1389]) ).
cnf(t261,plain,
c_lessequals(v_G,c_Message_Oanalz(v_G_H),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t21]) ).
cnf(t755,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(v_G_H),X1,tc_set(tc_Message_Omsg)),true,ifeq(true,true,c_lessequals(v_G,X1,tc_set(tc_Message_Omsg)),true),true),
inference(cp,[status(thm)],[t740,t261]) ).
cnf(t5269,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(v_G_H),X1,tc_set(tc_Message_Omsg)),true,c_lessequals(v_G,X1,tc_set(tc_Message_Omsg)),true),
inference(step,[status(thm)],[t755,t147]) ).
cnf(t4308,plain,
ifeq(c_lessequals(c_Message_Oanalz(v_G_H),X1,tc_set(tc_Message_Omsg)),true,c_lessequals(v_G,X1,tc_set(tc_Message_Omsg)),true) = true,
inference(orient,[status(thm)],[t5269]) ).
cnf(f1371,axiom,
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f1371_nnf,plain,
! [V_G,V_H] :
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
inference(nnf_transformation,[status(thm)],[f1371]) ).
fof(f1371_sk,plain,
! [V_G,V_H] :
( c_lessequals(c_Message_Oanalz(V_G),c_Message_Oanalz(V_H),tc_set(tc_Message_Omsg))
| ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg)) ),
inference(skolemisation,[status(esa)],[f1371_nnf]) ).
cnf(c1371,plain,
( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
| ~ c_lessequals(X0,X1,tc_set(tc_Message_Omsg)) ),
inference(cnf_transformation,[status(esa)],[f1371_sk]) ).
cnf(t113,plain,
ifeq(c_lessequals(X1,X2,tc_set(tc_Message_Omsg)),true,c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)),true) = true,
inference(equality_encoding,[status(esa)],[c1371]) ).
cnf(t769,plain,
ifeq(c_lessequals(X1,X2,tc_set(tc_Message_Omsg)),true,c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(X2),tc_set(tc_Message_Omsg)),true) = true,
inference(orient,[status(thm)],[t113]) ).
cnf(f1386,axiom,
c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper1_0) ).
fof(f1386_nnf,plain,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
inference(nnf_transformation,[status(thm)],[f1386]) ).
fof(f1386_sk,plain,
! [V_A,V_B,T_a] : c_lessequals(V_A,c_union(V_A,V_B,T_a),tc_set(T_a)),
inference(skolemisation,[status(esa)],[f1386_nnf]) ).
cnf(c1386,plain,
c_lessequals(X0,c_union(X0,X1,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f1386_sk]) ).
cnf(t33,plain,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)) = true,
inference(equality_encoding,[status(esa)],[c1386]) ).
cnf(t243,plain,
c_lessequals(X1,c_union(X1,X2,X3),tc_set(X3)) = true,
inference(orient,[status(thm)],[t33]) ).
cnf(t772,plain,
true = ifeq(true,true,c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),true),
inference(cp,[status(thm)],[t769,t243]) ).
cnf(t4774,plain,
true = c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t772,t147]) ).
cnf(t1361,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X1,X2,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t4774]) ).
cnf(t4311,plain,
true = ifeq(true,true,c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),true),
inference(cp,[status(thm)],[t4308,t1361]) ).
cnf(t5276,plain,
true = c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t4311,t147]) ).
cnf(t4342,plain,
c_lessequals(v_G,c_Message_Oanalz(c_union(v_G_H,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t5276]) ).
cnf(t5277,plain,
or(not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),not(true)) = true,
inference(step,[status(thm)],[t911,t4342]) ).
cnf(t1,plain,
not(true) = false,
introduced(definition) ).
cnf(t957,plain,
not(true) = false,
inference(orient,[status(thm)],[t1]) ).
cnf(t5278,plain,
or(not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))),false) = true,
inference(step,[status(thm)],[t5277,t957]) ).
cnf(t2,plain,
or(X1,false) = X1,
introduced(definition) ).
cnf(t150,plain,
or(X1,false) = X1,
inference(orient,[status(thm)],[t2]) ).
cnf(t5279,plain,
not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))) = true,
inference(step,[status(thm)],[t5278,t150]) ).
cnf(t4351,plain,
not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))) = true,
inference(rw,[status(thm)],[t5279]) ).
cnf(t4395,plain,
not(c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg))) = true,
inference(orient,[status(thm)],[t4351]) ).
cnf(t4396,plain,
false = ifeq(true,true,c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),false),
inference(cp,[status(thm)],[t956,t4395]) ).
cnf(t5295,plain,
false = c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t4396,t147]) ).
cnf(t4397,plain,
c_lessequals(v_H,c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) = false,
inference(orient,[status(thm)],[t5295]) ).
cnf(t4533,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(v_H_H),c_Message_Oanalz(c_union(v_G_H,v_H_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),true,false,true),
inference(cp,[status(thm)],[t4527,t4397]) ).
cnf(f1387,axiom,
c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUn__upper2_0) ).
fof(f1387_nnf,plain,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
inference(nnf_transformation,[status(thm)],[f1387]) ).
fof(f1387_sk,plain,
! [V_B,V_A,T_a] : c_lessequals(V_B,c_union(V_A,V_B,T_a),tc_set(T_a)),
inference(skolemisation,[status(esa)],[f1387_nnf]) ).
cnf(c1387,plain,
c_lessequals(X0,c_union(X1,X0,X2),tc_set(X2)),
inference(cnf_transformation,[status(esa)],[f1387_sk]) ).
cnf(t34,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)) = true,
inference(equality_encoding,[status(esa)],[c1387]) ).
cnf(t240,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)) = true,
inference(orient,[status(thm)],[t34]) ).
cnf(t771,plain,
true = ifeq(true,true,c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),true),
inference(cp,[status(thm)],[t769,t240]) ).
cnf(t4773,plain,
true = c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t771,t147]) ).
cnf(t1352,plain,
c_lessequals(c_Message_Oanalz(X1),c_Message_Oanalz(c_union(X2,X1,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t4773]) ).
cnf(t5336,plain,
true = ifeq(true,true,false,true),
inference(step,[status(thm)],[t4533,t1352]) ).
cnf(t5337,plain,
true = false,
inference(step,[status(thm)],[t5336,t147]) ).
cnf(t4534,plain,
false = true,
inference(orient,[status(thm)],[t5337]) ).
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(f1361,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(f1361_nnf,plain,
! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
inference(nnf_transformation,[status(thm)],[f1361]) ).
fof(f1361_sk,plain,
! [V_nat_H] : c_Message_Oagent_OServer != c_Message_Oagent_OFriend(V_nat_H),
inference(skolemisation,[status(esa)],[f1361_nnf]) ).
cnf(c1361,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(esa)],[f1361_sk]) ).
cnf(f1362,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(f1362_nnf,plain,
! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
inference(nnf_transformation,[status(thm)],[f1362]) ).
fof(f1362_sk,plain,
! [V_nat_H] : c_Message_Oagent_OFriend(V_nat_H) != c_Message_Oagent_OServer,
inference(skolemisation,[status(esa)],[f1362_nnf]) ).
cnf(c1362,plain,
c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer,
inference(cnf_transformation,[status(esa)],[f1362_sk]) ).
cnf(f1363,axiom,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__3__iff1_0) ).
fof(f1363_nnf,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(nnf_transformation,[status(thm)],[f1363]) ).
fof(f1363_sk,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(skolemisation,[status(esa)],[f1363_nnf]) ).
cnf(c1363,plain,
c_Message_Oagent_OServer != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(esa)],[f1363_sk]) ).
cnf(f1364,axiom,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oagent_Odistinct__4__iff1_0) ).
fof(f1364_nnf,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(nnf_transformation,[status(thm)],[f1364]) ).
fof(f1364_sk,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(skolemisation,[status(esa)],[f1364_nnf]) ).
cnf(c1364,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OServer,
inference(cnf_transformation,[status(esa)],[f1364_sk]) ).
cnf(f1365,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(f1365_nnf,plain,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
inference(nnf_transformation,[status(thm)],[f1365]) ).
fof(f1365_sk,plain,
! [V_nat] : c_Message_Oagent_OFriend(V_nat) != c_Message_Oagent_OSpy,
inference(skolemisation,[status(esa)],[f1365_nnf]) ).
cnf(c1365,plain,
c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
inference(cnf_transformation,[status(esa)],[f1365_sk]) ).
cnf(f1366,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(f1366_nnf,plain,
! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
inference(nnf_transformation,[status(thm)],[f1366]) ).
fof(f1366_sk,plain,
! [V_nat] : c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(V_nat),
inference(skolemisation,[status(esa)],[f1366_nnf]) ).
cnf(c1366,plain,
c_Message_Oagent_OSpy != c_Message_Oagent_OFriend(X0),
inference(cnf_transformation,[status(esa)],[f1366_sk]) ).
cnf(f1384,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(f1384_nnf,plain,
! [V_X] : ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f1384]) ).
fof(f1384_sk,plain,
! [V_X] : ~ c_in(V_X,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f1384_nnf]) ).
cnf(c1384,plain,
~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1384_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,c1361,c1362,c1363,c1364,c1365,c1366,c1384,c1391]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t4534]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV242-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.55 % Computer : n018.cluster.edu
% 0.08/0.55 % Model : x86_64 x86_64
% 0.08/0.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.55 % Memory : 8046.5625MB
% 0.08/0.55 % OS : Linux 6.8.0-71-generic
% 0.08/0.56 % CPULimit : 300
% 0.08/0.56 % WCLimit : 300
% 0.08/0.56 % DateTime : Thu Sep 24 18:52:50 UTC 2026
% 0.08/0.56 % CPUTime :
% 0.08/0.56 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 43.42/6.16 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 43.42/6.16 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------