%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n012.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 03:14:19 PM UTC 2026
% Result : Unsatisfiable 48.10s 6.57s
% Output : Proof 48.10s
% Verified :
% Comments :
%------------------------------------------------------------------------------
cnf(f14,axiom,
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com__det_0) ).
fof(f14_nnf,plain,
! [V_u,V_t,V_c,V_s] :
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [V_u,V_t,V_c,V_s] :
( ~ c_Natural_Oevalc(V_c,V_s,V_t)
| ~ c_Natural_Oevalc(V_c,V_s,V_u)
| V_u = V_t ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ c_Natural_Oevalc(X2,X3,X1)
| ~ c_Natural_Oevalc(X2,X3,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(f28,negated_conjecture,
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| V_Z_Ha = v_s_H ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f28_nnf,plain,
! [V_Z_Ha] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| V_Z_Ha = v_s_H ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [V_Z_Ha] :
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(V_Z_Ha))
| V_Z_Ha = v_s_H ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( c_Natural_Oevalc(v_c,v_Z,v_Z_H(X0))
| X0 = v_s_H ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p67,plain,
( X0 = v_s_H
| ~ c_Natural_Oevalc(v_c,v_Z,X1)
| v_Z_H(X0) = X1 ),
inference(resolution,[status(thm)],[c14,c28]) ).
cnf(p72,plain,
( X1 = v_s_H
| X0 = v_s_H
| v_Z_H(X0) = v_Z_H(X1) ),
inference(resolution,[status(thm)],[p67,c28]) ).
cnf(f29,negated_conjecture,
( V_Z_Ha = v_s_H
| V_Z_Ha != v_Z_H(V_Z_Ha) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f29_nnf,plain,
! [V_Z_Ha] :
( V_Z_Ha = v_s_H
| V_Z_Ha != v_Z_H(V_Z_Ha) ),
inference(nnf_transformation,[status(thm)],[f29]) ).
fof(f29_sk,plain,
! [V_Z_Ha] :
( V_Z_Ha = v_s_H
| V_Z_Ha != v_Z_H(V_Z_Ha) ),
inference(skolemisation,[status(esa)],[f29_nnf]) ).
cnf(c29,plain,
( X0 = v_s_H
| X0 != v_Z_H(X0) ),
inference(cnf_transformation,[status(esa)],[f29_sk]) ).
cnf(p75,plain,
( v_Z_H(X0) = v_s_H
| v_Z_H(X0) = v_s_H
| X0 = v_s_H ),
inference(resolution,[status(thm)],[p72,c29]) ).
cnf(p94,plain,
( v_Z_H(X0) = v_s_H
| X0 = v_s_H ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p102,plain,
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| X0 = v_s_H
| X0 = v_s_H ),
inference(superposition,[status(thm)],[p94,c28]) ).
cnf(p125,plain,
( c_Natural_Oevalc(v_c,v_Z,v_s_H)
| X0 = v_s_H ),
inference(factoring,[status(thm)],[p102]) ).
cnf(f26,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f26_nnf,plain,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
~ c_Natural_Oevalc(v_c,v_Z,v_s_H),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p126,plain,
X0 = v_s_H,
inference(resolution,[status(thm)],[p125,c26]) ).
cnf(f11,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_com_Osimps_I13_J_0) ).
fof(f11_nnf,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(nnf_transformation,[status(thm)],[f11]) ).
fof(f11_sk,plain,
! [V_com1_H,V_com2_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
inference(skolemisation,[status(esa)],[f11_nnf]) ).
cnf(c11,plain,
c_Com_Ocom_OSemi(X0,X1) != c_Com_Ocom_OSKIP,
inference(cnf_transformation,[status(esa)],[f11_sk]) ).
cnf(p128,plain,
~ v_s_H,
inference(demodulation,[status(thm)],[p126,c11]) ).
cnf(f7,axiom,
c_Code__Evaluation_Otracing(V_s,V_x,T_a) = V_x,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_tracing__def_0) ).
fof(f7_nnf,plain,
! [V_s,V_x,T_a] : c_Code__Evaluation_Otracing(V_s,V_x,T_a) = V_x,
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [V_s,V_x,T_a] : c_Code__Evaluation_Otracing(V_s,V_x,T_a) = V_x,
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
c_Code__Evaluation_Otracing(X0,X1,X2) = X1,
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(p127,plain,
v_s_H,
inference(demodulation,[status(thm)],[p126,c7]) ).
cnf(p129,plain,
$false,
inference(resolution,[status(thm)],[p128,p127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV865-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/0.36 % Computer : n012.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
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 21:11:12 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 48.10/6.57 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 48.10/6.57 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------