%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n002.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 03:35:21 PM UTC 2026
% Result : Unsatisfiable 15.15s 2.39s
% Output : Proof 15.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 10
% Syntax : Number of formulae : 55 ( 47 unt; 0 def)
% Number of atoms : 71 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 50 ( 34 ~; 16 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-4 aty)
% Number of variables : 58 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f20,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_21) ).
fof(f20_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f20]) ).
fof(f20_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f20_nnf]) ).
cnf(c20,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f20_sk]) ).
cnf(hi17,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(f25,negated_conjecture,
p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_26) ).
fof(f25_nnf,plain,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi22,negated_conjecture,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(f0,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_1) ).
fof(f0_nnf,plain,
! [X0] : p10(X0,X0),
inference(nnf_transformation,[status(thm)],[f0]) ).
fof(f0_sk,plain,
! [X0] : p10(X0,X0),
inference(skolemisation,[status(esa)],[f0_nnf]) ).
cnf(c0,plain,
p10(X0,X0),
inference(cnf_transformation,[status(esa)],[f0_sk]) ).
cnf(hi0,negated_conjecture,
p10(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h517,plain,
p10(f13(f6(c24),f16(c26,V0)),f13(f6(c22),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi17,hi22,hi0]) ).
cnf(f31,negated_conjecture,
( ~ p5(X3,X5)
| ~ p10(X4,X6)
| p10(f13(X3,X4),f13(X5,X6)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_32) ).
fof(f31_nnf,plain,
! [X3,X4,X5,X6] :
( ~ p5(X3,X5)
| ~ p10(X4,X6)
| p10(f13(X3,X4),f13(X5,X6)) ),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X3,X4,X5,X6] :
( ~ p5(X3,X5)
| ~ p10(X4,X6)
| p10(f13(X3,X4),f13(X5,X6)) ),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
( ~ p5(X0,X2)
| ~ p10(X1,X3)
| p10(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(hi27,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p5(X2,X3),true,p10(f13(X2,X0),f13(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(f10,negated_conjecture,
p10(f16(X16,f14(f15(f7(c25)))),X16),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_11) ).
fof(f10_nnf,plain,
! [X16] : p10(f16(X16,f14(f15(f7(c25)))),X16),
inference(nnf_transformation,[status(thm)],[f10]) ).
fof(f10_sk,plain,
! [X16] : p10(f16(X16,f14(f15(f7(c25)))),X16),
inference(skolemisation,[status(esa)],[f10_nnf]) ).
cnf(c10,plain,
p10(f16(X0,f14(f15(f7(c25)))),X0),
inference(cnf_transformation,[status(esa)],[f10_sk]) ).
cnf(hi8,negated_conjecture,
p10(f16(X0,f14(f15(f7(c25)))),X0) = true,
inference(equality_encoding,[status(esa)],[c10]) ).
cnf(f1,negated_conjecture,
p5(X57,X57),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p5_2) ).
fof(f1_nnf,plain,
! [X57] : p5(X57,X57),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X57] : p5(X57,X57),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p5(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p5(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h46,plain,
p10(f13(V0,f16(V1,f14(f15(f7(c25))))),f13(V0,V1)) = true,
inference(hyper_resolution,[status(thm)],[hi27,hi8,hi1]) ).
cnf(h523,plain,
p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))) = true,
inference(hyper_resolution,[status(thm)],[hi17,h46,h517]) ).
cnf(f27,negated_conjecture,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_28) ).
fof(f27_nnf,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
~ p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi34,negated_conjecture,
ifeq(p10(f13(f6(c24),c26),f13(f6(c22),f14(f15(f7(c25))))),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi34,h523]) ).
cnf(t2173,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f5,negated_conjecture,
~ p18(f6(c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f6_is_not_p18_6) ).
fof(f5_nnf,plain,
~ p18(f6(c24)),
inference(nnf_transformation,[status(thm)],[f5]) ).
fof(f5_sk,plain,
~ p18(f6(c24)),
inference(skolemisation,[status(esa)],[f5_nnf]) ).
cnf(c5,plain,
~ p18(f6(c24)),
inference(cnf_transformation,[status(esa)],[f5_sk]) ).
cnf(f6,negated_conjecture,
~ p18(f6(c22)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f6_is_not_p18_7) ).
fof(f6_nnf,plain,
~ p18(f6(c22)),
inference(nnf_transformation,[status(thm)],[f6]) ).
fof(f6_sk,plain,
~ p18(f6(c22)),
inference(skolemisation,[status(esa)],[f6_nnf]) ).
cnf(c6,plain,
~ p18(f6(c22)),
inference(cnf_transformation,[status(esa)],[f6_sk]) ).
cnf(f19,negated_conjecture,
~ p10(f13(f6(c24),c26),f14(f15(f7(c25)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p10_20) ).
fof(f19_nnf,plain,
~ p10(f13(f6(c24),c26),f14(f15(f7(c25)))),
inference(nnf_transformation,[status(thm)],[f19]) ).
fof(f19_sk,plain,
~ p10(f13(f6(c24),c26),f14(f15(f7(c25)))),
inference(skolemisation,[status(esa)],[f19_nnf]) ).
cnf(c19,plain,
~ p10(f13(f6(c24),c26),f14(f15(f7(c25)))),
inference(cnf_transformation,[status(esa)],[f19_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c6,c19,c27]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2173]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN624-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Fri Sep 25 01:57:49 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 15.15/2.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.15/2.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------