%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% Computer : n008.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 03:35:20 PM UTC 2026
% Result : Unsatisfiable 23.59s 3.41s
% Output : Proof 23.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 60 ( 48 unt; 0 def)
% Number of atoms : 84 ( 15 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 42 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 68 ( 4 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f18,negated_conjecture,
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_19) ).
fof(f18_nnf,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(nnf_transformation,[status(thm)],[f18]) ).
fof(f18_sk,plain,
! [X1,X2,X0] :
( ~ p10(X0,X2)
| ~ p10(X0,X1)
| p10(X1,X2) ),
inference(skolemisation,[status(esa)],[f18_nnf]) ).
cnf(c18,plain,
( ~ p10(X2,X1)
| ~ p10(X2,X0)
| p10(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f18_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(p10(X0,X1),true,ifeq(p10(X0,X2),true,p10(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c18]) ).
cnf(f23,negated_conjecture,
p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p10_24) ).
fof(f23_nnf,plain,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X9] : p10(f13(f6(c22),X9),f13(f6(c24),f16(c26,X9))),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(hi21,negated_conjecture,
p10(f13(f6(c22),X0),f13(f6(c24),f16(c26,X0))) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f0,negated_conjecture,
p10(X0,X0),
file('/export/starexec/sandbox2/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(h499,plain,
p10(f13(f6(c24),f16(c26,V0)),f13(f6(c22),V0)) = true,
inference(hyper_resolution,[status(thm)],[hi16,hi21,hi0]) ).
cnf(f17,negated_conjecture,
( ~ p10(X23,X24)
| p11(f12(X23),f12(X24)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_18) ).
fof(f17_nnf,plain,
! [X23,X24] :
( ~ p10(X23,X24)
| p11(f12(X23),f12(X24)) ),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
! [X23,X24] :
( ~ p10(X23,X24)
| p11(f12(X23),f12(X24)) ),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
( ~ p10(X0,X1)
| p11(f12(X0),f12(X1)) ),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(hi15,negated_conjecture,
ifeq(p10(X0,X1),true,p11(f12(X0),f12(X1)),true) = true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(h504,plain,
p11(f12(f13(f6(c24),f16(c26,V0))),f12(f13(f6(c22),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi15,h499]) ).
cnf(f27,negated_conjecture,
( ~ p11(X38,X36)
| ~ p20(X38,X39)
| ~ p11(X39,X37)
| p20(X36,X37) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_28) ).
fof(f27_nnf,plain,
! [X36,X37,X39,X38] :
( ~ p11(X38,X36)
| ~ p20(X38,X39)
| ~ p11(X39,X37)
| p20(X36,X37) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X36,X37,X39,X38] :
( ~ p11(X38,X36)
| ~ p20(X38,X39)
| ~ p11(X39,X37)
| p20(X36,X37) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p11(X3,X0)
| ~ p20(X3,X2)
| ~ p11(X2,X1)
| p20(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p11(X0,X1),true,ifeq(p20(X2,X0),true,ifeq(p11(X2,X3),true,p20(X3,X1),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(f31,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p20_32) ).
fof(f31_nnf,plain,
! [X40] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
inference(nnf_transformation,[status(thm)],[f31]) ).
fof(f31_sk,plain,
! [X40] : p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X40))),
inference(skolemisation,[status(esa)],[f31_nnf]) ).
cnf(c31,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))),
inference(cnf_transformation,[status(esa)],[f31_sk]) ).
cnf(hi28,negated_conjecture,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c24),X0))) = true,
inference(equality_encoding,[status(esa)],[c31]) ).
cnf(f4,negated_conjecture,
p11(X20,X20),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',p11_5) ).
fof(f4_nnf,plain,
! [X20] : p11(X20,X20),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X20] : p11(X20,X20),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p11(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p11(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h1600,plain,
p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),V0))) = true,
inference(hyper_resolution,[status(thm)],[hi24,h504,hi28,hi4]) ).
cnf(f32,negated_conjecture,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p20_33) ).
fof(f32_nnf,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
~ p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(hi33,negated_conjecture,
ifeq(p20(f12(f13(f6(c22),f14(f15(f7(c25))))),f12(f13(f6(c22),c27))),true,false,true) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(t0,plain,
true = false,
inference(hyper_resolution,[status(thm)],[hi33,h1600]) ).
cnf(t2143,plain,
false = true,
inference(orient,[status(thm)],[t0]) ).
cnf(f5,negated_conjecture,
~ p18(f6(c24)),
file('/export/starexec/sandbox2/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/sandbox2/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(f24,negated_conjecture,
~ p10(f13(f6(c22),f14(f15(f7(c25)))),f14(f15(f7(c25)))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_p10_25) ).
fof(f24_nnf,plain,
~ p10(f13(f6(c22),f14(f15(f7(c25)))),f14(f15(f7(c25)))),
inference(nnf_transformation,[status(thm)],[f24]) ).
fof(f24_sk,plain,
~ p10(f13(f6(c22),f14(f15(f7(c25)))),f14(f15(f7(c25)))),
inference(skolemisation,[status(esa)],[f24_nnf]) ).
cnf(c24,plain,
~ p10(f13(f6(c22),f14(f15(f7(c25)))),f14(f15(f7(c25)))),
inference(cnf_transformation,[status(esa)],[f24_sk]) ).
cnf(goal_0,negated_conjecture,
true != false,
inference(equality_encoding,[status(esa)],[c5,c6,c24,c32]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t2143]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN620-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 0.08/0.37 % Computer : n008.cluster.edu
% 0.08/0.37 % Model : x86_64 x86_64
% 0.08/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.37 % Memory : 8046.5625MB
% 0.08/0.37 % OS : Linux 6.8.0-71-generic
% 0.08/0.37 % CPULimit : 300
% 0.08/0.37 % WCLimit : 300
% 0.08/0.37 % DateTime : Fri Sep 25 01:55:24 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.37 Running run_findproof /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 23.59/3.41 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 23.59/3.41 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------