%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n011.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 03:14:18 PM UTC 2026
% Result : Unsatisfiable 255.50s 37.36s
% Output : Proof 255.50s
% 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/sandbox2/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(f27,negated_conjecture,
( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| V_Z_H = v_xa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f27_nnf,plain,
! [V_Z_H] :
( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| V_Z_H = v_xa ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [V_Z_H] :
( c_Natural_Oevalc(v_c,v_x,v_xb(V_Z_H))
| V_Z_H = v_xa ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( c_Natural_Oevalc(v_c,v_x,v_xb(X0))
| X0 = v_xa ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(p66,plain,
( X0 = v_xa
| ~ c_Natural_Oevalc(v_c,v_x,X1)
| v_xb(X0) = X1 ),
inference(resolution,[status(thm)],[c14,c27]) ).
cnf(p72,plain,
( X1 = v_xa
| X0 = v_xa
| v_xb(X0) = v_xb(X1) ),
inference(resolution,[status(thm)],[p66,c27]) ).
cnf(f28,negated_conjecture,
( V_Z_H = v_xa
| V_Z_H != v_xb(V_Z_H) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f28_nnf,plain,
! [V_Z_H] :
( V_Z_H = v_xa
| V_Z_H != v_xb(V_Z_H) ),
inference(nnf_transformation,[status(thm)],[f28]) ).
fof(f28_sk,plain,
! [V_Z_H] :
( V_Z_H = v_xa
| V_Z_H != v_xb(V_Z_H) ),
inference(skolemisation,[status(esa)],[f28_nnf]) ).
cnf(c28,plain,
( X0 = v_xa
| X0 != v_xb(X0) ),
inference(cnf_transformation,[status(esa)],[f28_sk]) ).
cnf(p75,plain,
( v_xb(X0) = v_xa
| v_xb(X0) = v_xa
| X0 = v_xa ),
inference(resolution,[status(thm)],[p72,c28]) ).
cnf(p101,plain,
( v_xb(X0) = v_xa
| X0 = v_xa ),
inference(factoring,[status(thm)],[p75]) ).
cnf(p102,plain,
( c_Natural_Oevalc(v_c,v_x,v_xa)
| X0 = v_xa
| X0 = v_xa ),
inference(superposition,[status(thm)],[p101,c27]) ).
cnf(p139,plain,
( c_Natural_Oevalc(v_c,v_x,v_xa)
| X0 = v_xa ),
inference(factoring,[status(thm)],[p102]) ).
cnf(f26,negated_conjecture,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f26_nnf,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
~ c_Natural_Oevalc(v_c,v_x,v_xa),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(p140,plain,
X0 = v_xa,
inference(resolution,[status(thm)],[p139,c26]) ).
cnf(f11,axiom,
c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP,
file('/export/starexec/sandbox2/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(p142,plain,
~ v_xa,
inference(demodulation,[status(thm)],[p140,c11]) ).
cnf(f0,axiom,
c_Fun_Oid(V_x,T_a) = V_x,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_id__apply_0) ).
fof(f0_nnf,plain,
! [V_x,T_a] : c_Fun_Oid(V_x,T_a) = V_x,
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [V_x,T_a] : c_Fun_Oid(V_x,T_a) = V_x,
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
c_Fun_Oid(X0,X1) = X0,
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(p141,plain,
v_xa,
inference(demodulation,[status(thm)],[p140,c0]) ).
cnf(p143,plain,
$false,
inference(resolution,[status(thm)],[p142,p141]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV864-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.09/0.34 % Computer : n011.cluster.edu
% 0.09/0.34 % Model : x86_64 x86_64
% 0.09/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.34 % Memory : 8046.5625MB
% 0.09/0.34 % OS : Linux 6.8.0-71-generic
% 0.09/0.34 % CPULimit : 300
% 0.09/0.34 % WCLimit : 300
% 0.09/0.34 % DateTime : Thu Sep 24 21:11:28 UTC 2026
% 0.09/0.34 % CPUTime :
% 0.09/0.34 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 255.50/37.36 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 255.50/37.36 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------