%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV295-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n014.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 03:12:47 PM UTC 2026
% Result : Unsatisfiable 5.61s 1.22s
% Output : Proof 5.61s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(f2,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f2_nnf,plain,
v_NA = c_Message_Omsg_ONonce(v_NAa),
inference(nnf_transformation,[status(thm)],[f2]) ).
cnf(c2,plain,
v_NA = c_Message_Omsg_ONonce(v_NAa),
inference(cnf_transformation,[status(esa)],[f2_nnf]) ).
cnf(t0,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t20,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(orient,[status(thm)],[t0]) ).
cnf(t6,axiom,
sFlat0 = c_Message_Omsg_ONonce(v_NAa),
introduced(definition) ).
cnf(t55,plain,
sFlat0 = v_NA,
inference(step,[status(thm)],[t6,t20]) ).
cnf(t23,plain,
v_NA = sFlat0,
inference(orient,[status(thm)],[t55]) ).
cnf(t56,plain,
c_Message_Omsg_ONonce(v_NAa) = sFlat0,
inference(step,[status(thm)],[t20,t23]) ).
cnf(t24,plain,
c_Message_Omsg_ONonce(v_NAa) = sFlat0,
inference(orient,[status(thm)],[t56]) ).
cnf(t7,axiom,
sFlat1 = c_Event_Oused(v_evs1),
introduced(definition) ).
cnf(t26,plain,
c_Event_Oused(v_evs1) = sFlat1,
inference(orient,[status(thm)],[t7]) ).
cnf(t8,axiom,
sFlat2 = c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
introduced(definition) ).
cnf(t18,plain,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) = sFlat2,
inference(orient,[status(thm)],[t8]) ).
cnf(t53,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg) = sFlat2,
inference(step,[status(thm)],[t18,t20]) ).
cnf(t21,plain,
c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg) = sFlat2,
inference(rw,[status(thm)],[t53]) ).
cnf(t58,plain,
c_in(sFlat0,c_Event_Oused(v_evs1),tc_Message_Omsg) = sFlat2,
inference(step,[status(thm)],[t21,t23]) ).
cnf(t59,plain,
c_in(sFlat0,sFlat1,tc_Message_Omsg) = sFlat2,
inference(step,[status(thm)],[t58,t26]) ).
cnf(t28,plain,
c_in(sFlat0,sFlat1,tc_Message_Omsg) = sFlat2,
inference(orient,[status(thm)],[t59]) ).
cnf(f3,axiom,
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_A_hb089c655767d51be) ).
fof(f3_nnf,plain,
! [V_c,V_evs] :
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [V_c,V_evs] :
( c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg)
| ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( c_in(X0,c_Event_Oused(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(t3,plain,
ifeq(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),true,c_in(X1,c_Event_Oused(X2),tc_Message_Omsg),true) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(t11,plain,
ifeq(c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg),true,c_in(X1,c_Event_Oused(X2),tc_Message_Omsg),true) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(f4,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f4_nnf,plain,
! [V_X,V_Y,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [V_X,V_Y,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t5,plain,
ifeq(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg),true,c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t16,plain,
ifeq(c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg),true,c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg),true) = true,
inference(orient,[status(thm)],[t5]) ).
cnf(f5,axiom,
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f5_nnf,plain,
! [V_K,V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
! [V_K,V_X,V_H] :
( c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(t4,plain,
ifeq(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg),true,c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg),true) = true,
inference(equality_encoding,[status(esa)],[c5]) ).
cnf(t13,plain,
ifeq(c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg),true,c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg),true) = true,
inference(orient,[status(thm)],[t4]) ).
cnf(f0,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f0_nnf,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(t2,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(t10,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t54,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(step,[status(thm)],[t10,t20]) ).
cnf(t22,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(rw,[status(thm)],[t54]) ).
cnf(t60,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(sFlat0,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(step,[status(thm)],[t22,t23]) ).
cnf(t29,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(sFlat0,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t60]) ).
cnf(t30,plain,
true = ifeq(true,true,c_in(c_Message_Omsg_OMPair(sFlat0,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),true),
inference(cp,[status(thm)],[t13,t29]) ).
cnf(t1,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t9,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t61,plain,
true = c_in(c_Message_Omsg_OMPair(sFlat0,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(step,[status(thm)],[t30,t9]) ).
cnf(t34,plain,
c_in(c_Message_Omsg_OMPair(sFlat0,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t61]) ).
cnf(t36,plain,
true = ifeq(true,true,c_in(sFlat0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),true),
inference(cp,[status(thm)],[t16,t34]) ).
cnf(t62,plain,
true = c_in(sFlat0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
inference(step,[status(thm)],[t36,t9]) ).
cnf(t39,plain,
c_in(sFlat0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t62]) ).
cnf(t42,plain,
true = ifeq(true,true,c_in(sFlat0,c_Event_Oused(v_evs1),tc_Message_Omsg),true),
inference(cp,[status(thm)],[t11,t39]) ).
cnf(t63,plain,
true = c_in(sFlat0,c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(step,[status(thm)],[t42,t9]) ).
cnf(t64,plain,
true = c_in(sFlat0,sFlat1,tc_Message_Omsg),
inference(step,[status(thm)],[t63,t26]) ).
cnf(t65,plain,
true = sFlat2,
inference(step,[status(thm)],[t64,t28]) ).
cnf(t43,plain,
true = sFlat2,
inference(orient,[status(thm)],[t65]) ).
cnf(f1,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1_nnf,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(goal_0,negated_conjecture,
c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) != true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(g0_0,plain,
c_in(sFlat0,c_Event_Oused(v_evs1),tc_Message_Omsg) != true,
inference(rw,[status(thm)],[goal_0,t24]) ).
cnf(g0_1,plain,
c_in(sFlat0,sFlat1,tc_Message_Omsg) != true,
inference(rw,[status(thm)],[g0_0,t26]) ).
cnf(g0_2,plain,
sFlat2 != true,
inference(rw,[status(thm)],[g0_1,t28]) ).
cnf(g0_3,plain,
sFlat2 != sFlat2,
inference(rw,[status(thm)],[g0_2,t43]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV295-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n014.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Thu Sep 24 19:05:02 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.61/1.22 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.61/1.22 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------