%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN665-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n015.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 03:35:26 PM UTC 2026
% Result : Unsatisfiable 33.31s 9.67s
% Output : Proof 33.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 61 ( 45 unt; 0 def)
% Number of atoms : 93 ( 24 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-4 aty)
% Number of variables : 70 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f18,negated_conjecture,
~ p2(X96,f16(X96,f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p2_19) ).
fof(f18_nnf,plain,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X96] : ~ p2(X96,f16(X96,f9(f17(c31)))),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
~ p2(X0,f16(X0,f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(t34,plain,
p2(X1,f16(X1,f9(f17(c31)))) = false,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(t1228,plain,
p2(X1,f16(X1,f9(f17(c31)))) = false,
inference(orient,[status(thm)],[t34]) ).
cnf(f25,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
fof(f25_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f10,negated_conjecture,
p10(c35,c34),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).
fof(f10_nnf,plain,
p10(c35,c34),
inference(nnf_transformation,[status(thm)],[f10]) ).
cnf(c10,plain,
p10(c35,c34),
inference(cnf_transformation,[status(esa)],[f10_nnf]) ).
cnf(hi10,negated_conjecture,
p10(c35,c34) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(h11,plain,
p10(c34,c34) = true,
inference(hyper_resolution,[status(thm)],[hi24,hi10,hi10]) ).
cnf(f45,negated_conjecture,
( ~ p3(X31,X33)
| ~ p10(X32,X34)
| p2(f11(X31,X32),f11(X33,X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_46) ).
fof(f45_nnf,plain,
! [X31,X32,X33,X34] :
( ~ p3(X31,X33)
| ~ p10(X32,X34)
| p2(f11(X31,X32),f11(X33,X34)) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [X31,X32,X33,X34] :
( ~ p3(X31,X33)
| ~ p10(X32,X34)
| p2(f11(X31,X32),f11(X33,X34)) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( ~ p3(X0,X2)
| ~ p10(X1,X3)
| p2(f11(X0,X1),f11(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(hi44,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p3(X2,X3),true,p2(f11(X2,X0),f11(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c45]) ).
cnf(f4,negated_conjecture,
p3(X83,X83),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_5) ).
fof(f4_nnf,plain,
! [X83] : p3(X83,X83),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X83] : p3(X83,X83),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p3(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h14,plain,
p2(f11(V0,c34),f11(V0,c34)) = true,
inference(hyper_resolution,[status(thm)],[hi44,h11,hi4]) ).
cnf(f48,negated_conjecture,
( ~ p25(c32,X35)
| ~ p25(X35,c33)
| p2(f11(f4(X35),c34),f11(f4(c32),c34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_49) ).
fof(f48_nnf,plain,
! [X35] :
( ~ p25(c32,X35)
| ~ p25(X35,c33)
| p2(f11(f4(X35),c34),f11(f4(c32),c34)) ),
inference(nnf_transformation,[status(thm)],[f48]) ).
fof(f48_sk,plain,
! [X35] :
( ~ p25(c32,X35)
| ~ p25(X35,c33)
| p2(f11(f4(X35),c34),f11(f4(c32),c34)) ),
inference(skolemisation,[status(esa)],[f48_nnf]) ).
cnf(c48,plain,
( ~ p25(c32,X0)
| ~ p25(X0,c33)
| p2(f11(f4(X0),c34),f11(f4(c32),c34)) ),
inference(cnf_transformation,[status(esa)],[f48_sk]) ).
cnf(hi47,negated_conjecture,
ifeq(p25(X0,c33),true,ifeq(p25(c32,X0),true,p2(f11(f4(X0),c34),f11(f4(c32),c34)),true),true) = true,
inference(equality_encoding,[status(esa)],[c48]) ).
cnf(f11,negated_conjecture,
p25(c36,c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_12) ).
fof(f11_nnf,plain,
p25(c36,c33),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p25(c36,c33),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,negated_conjecture,
p25(c36,c33) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(f12,negated_conjecture,
p25(c32,c36),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p25_13) ).
fof(f12_nnf,plain,
p25(c32,c36),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
p25(c32,c36),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,negated_conjecture,
p25(c32,c36) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h13,plain,
p2(f11(f4(c36),c34),f11(f4(c32),c34)) = true,
inference(hyper_resolution,[status(thm)],[hi47,hi11,hi12]) ).
cnf(f30,negated_conjecture,
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_31) ).
fof(f30_nnf,plain,
! [X29,X30,X28] :
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X29,X30,X28] :
( ~ p2(X28,X30)
| ~ p2(X28,X29)
| p2(X29,X30) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p2(X2,X1)
| ~ p2(X2,X0)
| p2(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi29,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p2(X0,X2),true,p2(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(h1741,plain,
p2(f11(f4(c32),c34),f11(f4(c36),c34)) = true,
inference(hyper_resolution,[status(thm)],[hi29,h13,h14]) ).
cnf(f39,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_40) ).
fof(f39_nnf,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(nnf_transformation,[status(thm)],[f39]) ).
cnf(c39,plain,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))),
inference(cnf_transformation,[status(esa)],[f39_nnf]) ).
cnf(hi38,negated_conjecture,
p2(f11(f4(c32),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) = true,
inference(equality_encoding,[status(esa)],[c39]) ).
cnf(t151,plain,
p2(f11(f4(c36),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) = true,
inference(hyper_resolution,[status(thm)],[hi29,h1741,hi38]) ).
cnf(t287,plain,
p2(f11(f4(c36),c34),f16(f11(f4(c36),c34),f9(f17(c31)))) = true,
inference(orient,[status(thm)],[t151]) ).
cnf(t1252,plain,
false = true,
inference(step,[status(thm)],[t287,t1228]) ).
cnf(t1246,plain,
false = true,
inference(rw,[status(thm)],[t1252]) ).
cnf(t1247,plain,
false = true,
inference(orient,[status(thm)],[t1246]) ).
cnf(t1253,plain,
p2(X1,f16(X1,f9(f17(c31)))) = true,
inference(step,[status(thm)],[t1228,t1247]) ).
cnf(t1248,plain,
p2(X1,f16(X1,f9(f17(c31)))) = true,
inference(orient,[status(thm)],[t1253]) ).
cnf(goal_0,negated_conjecture,
p2(X1,f16(X1,f9(f17(c31)))) != true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t1248]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN665-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.09/5.38 % Computer : n015.cluster.edu
% 0.09/5.38 % Model : x86_64 x86_64
% 0.09/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.38 % Memory : 8046.5625MB
% 0.09/5.38 % OS : Linux 6.8.0-71-generic
% 0.09/5.38 % CPULimit : 300
% 0.09/5.38 % WCLimit : 300
% 0.09/5.38 % DateTime : Fri Sep 25 02:05:02 UTC 2026
% 0.09/5.38 % CPUTime :
% 0.09/5.38 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 33.31/9.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 33.31/9.67 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------