%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n017.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 03:12:36 PM UTC 2026
% Result : Unsatisfiable 16.99s 2.53s
% Output : Proof 16.99s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(t13,axiom,
sFlat0 = c_Message_Oanalz(v_G),
introduced(definition) ).
cnf(t43,plain,
c_Message_Oanalz(v_G) = sFlat0,
inference(orient,[status(thm)],[t13]) ).
cnf(t14,axiom,
sFlat1 = c_Message_Osynth(c_Message_Oanalz(v_G)),
introduced(definition) ).
cnf(t1441,plain,
sFlat1 = c_Message_Osynth(sFlat0),
inference(step,[status(thm)],[t14,t43]) ).
cnf(t64,plain,
c_Message_Osynth(sFlat0) = sFlat1,
inference(orient,[status(thm)],[t1441]) ).
cnf(t15,axiom,
sFlat2 = c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg),
introduced(definition) ).
cnf(t1438,plain,
sFlat2 = c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg),
inference(step,[status(thm)],[t15,t43]) ).
cnf(t56,plain,
c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg) = sFlat2,
inference(orient,[status(thm)],[t1438]) ).
cnf(t1442,plain,
c_union(sFlat1,v_H,tc_Message_Omsg) = sFlat2,
inference(step,[status(thm)],[t56,t64]) ).
cnf(t65,plain,
c_union(sFlat1,v_H,tc_Message_Omsg) = sFlat2,
inference(rw,[status(thm)],[t1442]) ).
cnf(t66,plain,
c_union(sFlat1,v_H,tc_Message_Omsg) = sFlat2,
inference(orient,[status(thm)],[t65]) ).
cnf(t16,axiom,
sFlat3 = c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),
introduced(definition) ).
cnf(t40,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)) = sFlat3,
inference(orient,[status(thm)],[t16]) ).
cnf(t1437,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg)) = sFlat3,
inference(step,[status(thm)],[t40,t43]) ).
cnf(t47,plain,
c_Message_Oanalz(c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg)) = sFlat3,
inference(rw,[status(thm)],[t1437]) ).
cnf(t1444,plain,
c_Message_Oanalz(c_union(sFlat1,v_H,tc_Message_Omsg)) = sFlat3,
inference(step,[status(thm)],[t47,t64]) ).
cnf(t1445,plain,
c_Message_Oanalz(sFlat2) = sFlat3,
inference(step,[status(thm)],[t1444,t66]) ).
cnf(t74,plain,
c_Message_Oanalz(sFlat2) = sFlat3,
inference(orient,[status(thm)],[t1445]) ).
cnf(t17,axiom,
sFlat4 = c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
introduced(definition) ).
cnf(t1439,plain,
sFlat4 = c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(step,[status(thm)],[t17,t43]) ).
cnf(t1440,plain,
sFlat4 = c_in(v_x,c_Message_Oanalz(sFlat2),tc_Message_Omsg),
inference(step,[status(thm)],[t1439,t56]) ).
cnf(t60,plain,
c_in(v_x,c_Message_Oanalz(sFlat2),tc_Message_Omsg) = sFlat4,
inference(orient,[status(thm)],[t1440]) ).
cnf(t1446,plain,
c_in(v_x,sFlat3,tc_Message_Omsg) = sFlat4,
inference(step,[status(thm)],[t60,t74]) ).
cnf(t77,plain,
c_in(v_x,sFlat3,tc_Message_Omsg) = sFlat4,
inference(rw,[status(thm)],[t1446]) ).
cnf(t78,plain,
c_in(v_x,sFlat3,tc_Message_Omsg) = sFlat4,
inference(orient,[status(thm)],[t77]) ).
cnf(f7,axiom,
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetD_0) ).
fof(f7_nnf,plain,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [V_c,V_A,T_a,V_B] :
( c_in(V_c,V_B,T_a)
| ~ c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(V_c,V_A,T_a) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( c_in(X0,X3,X2)
| ~ c_lessequals(X1,X3,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(t10,plain,
ifeq(c_in(X1,X2,X3),true,ifeq(c_lessequals(X2,X4,tc_set(X3)),true,c_in(X1,X4,X3),true),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(t32,plain,
ifeq(c_in(X1,X2,X3),true,ifeq(c_lessequals(X2,X4,tc_set(X3)),true,c_in(X1,X4,X3),true),true) = true,
inference(orient,[status(thm)],[t10]) ).
cnf(f11,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f11_nnf,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(t3,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(t34,plain,
c_in(v_x,c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t3]) ).
cnf(t35,plain,
true = ifeq(true,true,ifeq(c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),true,c_in(v_x,X1,tc_Message_Omsg),true),true),
inference(cp,[status(thm)],[t32,t34]) ).
cnf(t1,plain,
ifeq(X1,X1,X2,X3) = X2,
introduced(definition) ).
cnf(t18,plain,
ifeq(X1,X1,X2,X3) = X2,
inference(orient,[status(thm)],[t1]) ).
cnf(t1564,plain,
true = ifeq(c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),true,c_in(v_x,X1,tc_Message_Omsg),true),
inference(step,[status(thm)],[t35,t18]) ).
cnf(t1221,plain,
ifeq(c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),true,c_in(v_x,X1,tc_Message_Omsg),true) = true,
inference(orient,[status(thm)],[t1564]) ).
cnf(f0,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/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__mono_0) ).
fof(f0_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)],[f0]) ).
fof(f0_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)],[f0_nnf]) ).
cnf(c0,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)],[f0_sk]) ).
cnf(t6,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)],[c0]) ).
cnf(t25,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)],[t6]) ).
cnf(f4,axiom,
( c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__subset__iff_1) ).
fof(f4_nnf,plain,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [V_A,V_B,T_a,V_C] :
( c_lessequals(V_B,V_C,tc_set(T_a))
| ~ c_lessequals(c_union(V_A,V_B,T_a),V_C,tc_set(T_a)) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( c_lessequals(X1,X3,tc_set(X2))
| ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2)) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(t8,plain,
ifeq(c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)),true,c_lessequals(X2,X4,tc_set(X3)),true) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(t26,plain,
ifeq(c_lessequals(c_union(X1,X2,X3),X4,tc_set(X3)),true,c_lessequals(X2,X4,tc_set(X3)),true) = true,
inference(orient,[status(thm)],[t8]) ).
cnf(f9,axiom,
c_lessequals(V_A,V_A,tc_set(T_a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Osubset__refl_0) ).
fof(f9_nnf,plain,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
inference(nnf_transformation,[status(thm)],[f9]) ).
fof(f9_sk,plain,
! [V_A,T_a] : c_lessequals(V_A,V_A,tc_set(T_a)),
inference(skolemisation,[status(esa)],[f9_nnf]) ).
cnf(c9,plain,
c_lessequals(X0,X0,tc_set(X1)),
inference(cnf_transformation,[status(esa)],[f9_sk]) ).
cnf(t0,plain,
c_lessequals(X1,X1,tc_set(X2)) = true,
inference(equality_encoding,[status(esa)],[c9]) ).
cnf(t20,plain,
c_lessequals(X1,X1,tc_set(X2)) = true,
inference(orient,[status(thm)],[t0]) ).
cnf(t27,plain,
true = ifeq(true,true,c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),true),
inference(cp,[status(thm)],[t26,t20]) ).
cnf(t1447,plain,
true = c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)),
inference(step,[status(thm)],[t27,t18]) ).
cnf(t82,plain,
c_lessequals(X1,c_union(X2,X1,X3),tc_set(X3)) = true,
inference(orient,[status(thm)],[t1447]) ).
cnf(f2,axiom,
c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__Diff__cancel_0) ).
fof(f2_nnf,plain,
! [V_A,V_B,T_a] : c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_A,V_B,T_a] : c_union(V_A,c_minus(V_B,V_A,tc_set(T_a)),T_a) = c_union(V_A,V_B,T_a),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
c_union(X0,c_minus(X1,X0,tc_set(X2)),X2) = c_union(X0,X1,X2),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(t4,plain,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(t50,plain,
c_union(X1,c_minus(X2,X1,tc_set(X3)),X3) = c_union(X1,X2,X3),
inference(orient,[status(thm)],[t4]) ).
cnf(f6,axiom,
( c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_Oinsert__Diff1_0) ).
fof(f6_nnf,plain,
! [V_x,V_B,T_a,V_A] :
( c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
! [V_x,V_B,T_a,V_A] :
( c_minus(c_insert(V_x,V_A,T_a),V_B,tc_set(T_a)) = c_minus(V_A,V_B,tc_set(T_a))
| ~ c_in(V_x,V_B,T_a) ),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
( c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2))
| ~ c_in(X0,X1,X2) ),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(t11,plain,
ifeq(c_in(X1,X2,X3),true,c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)),c_minus(X4,X2,tc_set(X3))) = c_minus(X4,X2,tc_set(X3)),
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(t48,plain,
ifeq(c_in(X1,X2,X3),true,c_minus(c_insert(X1,X4,X3),X2,tc_set(X3)),c_minus(X4,X2,tc_set(X3))) = c_minus(X4,X2,tc_set(X3)),
inference(orient,[status(thm)],[t11]) ).
cnf(f10,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f10_nnf,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(t2,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(t37,plain,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(v_G)),tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t2]) ).
cnf(t1436,plain,
c_in(v_X,c_Message_Osynth(sFlat0),tc_Message_Omsg) = true,
inference(step,[status(thm)],[t37,t43]) ).
cnf(t46,plain,
c_in(v_X,c_Message_Osynth(sFlat0),tc_Message_Omsg) = true,
inference(rw,[status(thm)],[t1436]) ).
cnf(t1443,plain,
c_in(v_X,sFlat1,tc_Message_Omsg) = true,
inference(step,[status(thm)],[t46,t64]) ).
cnf(t70,plain,
c_in(v_X,sFlat1,tc_Message_Omsg) = true,
inference(orient,[status(thm)],[t1443]) ).
cnf(t71,plain,
c_minus(X1,sFlat1,tc_set(tc_Message_Omsg)) = ifeq(true,true,c_minus(c_insert(v_X,X1,tc_Message_Omsg),sFlat1,tc_set(tc_Message_Omsg)),c_minus(X1,sFlat1,tc_set(tc_Message_Omsg))),
inference(cp,[status(thm)],[t48,t70]) ).
cnf(t1459,plain,
c_minus(X1,sFlat1,tc_set(tc_Message_Omsg)) = c_minus(c_insert(v_X,X1,tc_Message_Omsg),sFlat1,tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t71,t18]) ).
cnf(t168,plain,
c_minus(c_insert(v_X,X1,tc_Message_Omsg),sFlat1,tc_set(tc_Message_Omsg)) = c_minus(X1,sFlat1,tc_set(tc_Message_Omsg)),
inference(orient,[status(thm)],[t1459]) ).
cnf(t170,plain,
c_union(sFlat1,c_insert(v_X,X1,tc_Message_Omsg),tc_Message_Omsg) = c_union(sFlat1,c_minus(X1,sFlat1,tc_set(tc_Message_Omsg)),tc_Message_Omsg),
inference(cp,[status(thm)],[t50,t168]) ).
cnf(t1461,plain,
c_union(sFlat1,c_insert(v_X,X1,tc_Message_Omsg),tc_Message_Omsg) = c_union(sFlat1,X1,tc_Message_Omsg),
inference(step,[status(thm)],[t170,t50]) ).
cnf(t176,plain,
c_union(sFlat1,c_insert(v_X,X1,tc_Message_Omsg),tc_Message_Omsg) = c_union(sFlat1,X1,tc_Message_Omsg),
inference(orient,[status(thm)],[t1461]) ).
cnf(t177,plain,
true = c_lessequals(c_insert(v_X,X1,tc_Message_Omsg),c_union(sFlat1,X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)),
inference(cp,[status(thm)],[t82,t176]) ).
cnf(t609,plain,
c_lessequals(c_insert(v_X,X1,tc_Message_Omsg),c_union(sFlat1,X1,tc_Message_Omsg),tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t177]) ).
cnf(t611,plain,
true = c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),sFlat2,tc_set(tc_Message_Omsg)),
inference(cp,[status(thm)],[t609,t66]) ).
cnf(t632,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),sFlat2,tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t611]) ).
cnf(t633,plain,
true = ifeq(true,true,c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(sFlat2),tc_set(tc_Message_Omsg)),true),
inference(cp,[status(thm)],[t25,t632]) ).
cnf(t1508,plain,
true = c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),c_Message_Oanalz(sFlat2),tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t633,t18]) ).
cnf(t1509,plain,
true = c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),sFlat3,tc_set(tc_Message_Omsg)),
inference(step,[status(thm)],[t1508,t74]) ).
cnf(t651,plain,
c_lessequals(c_Message_Oanalz(c_insert(v_X,v_H,tc_Message_Omsg)),sFlat3,tc_set(tc_Message_Omsg)) = true,
inference(orient,[status(thm)],[t1509]) ).
cnf(t1222,plain,
true = ifeq(true,true,c_in(v_x,sFlat3,tc_Message_Omsg),true),
inference(cp,[status(thm)],[t1221,t651]) ).
cnf(t1565,plain,
true = c_in(v_x,sFlat3,tc_Message_Omsg),
inference(step,[status(thm)],[t1222,t18]) ).
cnf(t1566,plain,
true = sFlat4,
inference(step,[status(thm)],[t1565,t78]) ).
cnf(t1232,plain,
true = sFlat4,
inference(orient,[status(thm)],[t1566]) ).
cnf(f12,negated_conjecture,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f12_nnf,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f12]) ).
fof(f12_sk,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f12_nnf]) ).
cnf(c12,plain,
~ c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f12_sk]) ).
cnf(goal_0,negated_conjecture,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(c_Message_Oanalz(v_G)),v_H,tc_Message_Omsg)),tc_Message_Omsg) != true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(g0_0,plain,
c_in(v_x,c_Message_Oanalz(c_union(c_Message_Osynth(sFlat0),v_H,tc_Message_Omsg)),tc_Message_Omsg) != true,
inference(rw,[status(thm)],[goal_0,t43]) ).
cnf(g0_1,plain,
c_in(v_x,c_Message_Oanalz(c_union(sFlat1,v_H,tc_Message_Omsg)),tc_Message_Omsg) != true,
inference(rw,[status(thm)],[g0_0,t64]) ).
cnf(g0_2,plain,
c_in(v_x,c_Message_Oanalz(sFlat2),tc_Message_Omsg) != true,
inference(rw,[status(thm)],[g0_1,t66]) ).
cnf(g0_3,plain,
c_in(v_x,sFlat3,tc_Message_Omsg) != true,
inference(rw,[status(thm)],[g0_2,t74]) ).
cnf(g0_4,plain,
sFlat4 != true,
inference(rw,[status(thm)],[g0_3,t78]) ).
cnf(g0_5,plain,
sFlat4 != sFlat4,
inference(rw,[status(thm)],[g0_4,t1232]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV251-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.35 % Computer : n017.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Thu Sep 24 18:49:04 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 16.99/2.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.99/2.53 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------