%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV274-2 : 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 03:12:42 PM UTC 2026
% Result : Unsatisfiable 5.16s 1.16s
% Output : Proof 5.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 40 ( 13 unt; 0 def)
% Number of atoms : 79 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 27 ~; 39 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% Number of variables : 75 ( 0 sgn 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f3,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_0) ).
fof(f3_nnf,plain,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a) ),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
( c_lessequals(X0,X1,tc_set(X2))
| c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(f2,axiom,
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OinsertE_0) ).
fof(f2_nnf,plain,
! [V_a,V_b,V_A,T_a] :
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [V_a,V_b,V_A,T_a] :
( V_a = V_b
| c_in(V_a,V_A,T_a)
| ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a) ),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
( X0 = X1
| c_in(X0,X2,X3)
| ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(p30,plain,
( c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2) = X0
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(resolution,[status(thm)],[c3,c2]) ).
cnf(f4,axiom,
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OsubsetI_1) ).
fof(f4_nnf,plain,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [V_A,V_B,T_a] :
( c_lessequals(V_A,V_B,tc_set(T_a))
| ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a) ),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
( c_lessequals(X0,X1,tc_set(X2))
| ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(p74,plain,
( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
| ~ c_in(X0,X3,X2)
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(superposition,[status(thm)],[p30,c4]) ).
cnf(p158,plain,
( ~ c_in(X0,X3,X2)
| c_in(c_Main_OsubsetI__1(c_insert(X0,X1,X2),X3,X2),X1,X2)
| c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) ),
inference(factoring,[status(thm)],[p74]) ).
cnf(f6,negated_conjecture,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f6_nnf,plain,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(p434,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),X0,tc_Message_Omsg)
| c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[p158,c6]) ).
cnf(f0,axiom,
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth_OInj_0) ).
fof(f0_nnf,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [V_X,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_in(V_X,V_H,tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p566,plain,
( c_in(c_Main_OsubsetI__1(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(X0),tc_Message_Omsg)
| c_lessequals(c_insert(v_X,X0,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[p434,c0]) ).
cnf(p586,plain,
( c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg))
| c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[p566,c4]) ).
cnf(p601,plain,
c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
inference(factoring,[status(thm)],[p586]) ).
cnf(f1,axiom,
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).
fof(f1_nnf,plain,
! [V_X,V_G,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [V_X,V_G,V_H] :
( c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg)
| ~ c_lessequals(V_G,c_Message_Osynth(V_H),tc_set(tc_Message_Omsg))
| ~ c_in(V_X,c_Message_Osynth(V_G),tc_Message_Omsg) ),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
( c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
| ~ c_lessequals(X1,c_Message_Osynth(X2),tc_set(tc_Message_Omsg))
| ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(f5,negated_conjecture,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f5_nnf,plain,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f5]) ).
cnf(c5,plain,
c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f5_nnf]) ).
cnf(p10,plain,
( c_in(v_Y,c_Message_Osynth(X0),tc_Message_Omsg)
| ~ c_lessequals(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X0),tc_set(tc_Message_Omsg)) ),
inference(resolution,[status(thm)],[c1,c5]) ).
cnf(p602,plain,
c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(resolution,[status(thm)],[p601,p10]) ).
cnf(f7,negated_conjecture,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7_nnf,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p608,plain,
$false,
inference(resolution,[status(thm)],[p602,c7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV274-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Thu Sep 24 18:54:46 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 5.16/1.16 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.16/1.16 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------