%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : 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 03:35:23 PM UTC 2026
% Result : Unsatisfiable 0.07s 11.65s
% Output : Proof 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 42 unt; 0 def)
% Number of atoms : 78 ( 21 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 54 ( 30 ~; 24 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-4 aty)
% Number of variables : 50 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f12,negated_conjecture,
p6(f7(f3(c19)),f7(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_13) ).
fof(f12_nnf,plain,
p6(f7(f3(c19)),f7(c19)),
inference(nnf_transformation,[status(thm)],[f12]) ).
cnf(c12,plain,
p6(f7(f3(c19)),f7(c19)),
inference(cnf_transformation,[status(esa)],[f12_nnf]) ).
cnf(hi12,negated_conjecture,
p6(f7(f3(c19)),f7(c19)) = true,
inference(equality_encoding,[status(esa)],[c12]) ).
cnf(h3,plain,
p6(f7(f3(c19)),f7(c19)) = true,
inference(hyper_resolution,[status(thm)],[hi12]) ).
cnf(f11,negated_conjecture,
p6(f7(f3(c18)),f7(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_12) ).
fof(f11_nnf,plain,
p6(f7(f3(c18)),f7(c18)),
inference(nnf_transformation,[status(thm)],[f11]) ).
cnf(c11,plain,
p6(f7(f3(c18)),f7(c18)),
inference(cnf_transformation,[status(esa)],[f11_nnf]) ).
cnf(hi11,negated_conjecture,
p6(f7(f3(c18)),f7(c18)) = true,
inference(equality_encoding,[status(esa)],[c11]) ).
cnf(h2,plain,
p6(f7(f3(c18)),f7(c18)) = true,
inference(hyper_resolution,[status(thm)],[hi11]) ).
cnf(f32,negated_conjecture,
( ~ p6(X52,X54)
| ~ p6(X53,X55)
| p6(f9(X52,X53),f9(X54,X55)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_33) ).
fof(f32_nnf,plain,
! [X52,X53,X54,X55] :
( ~ p6(X52,X54)
| ~ p6(X53,X55)
| p6(f9(X52,X53),f9(X54,X55)) ),
inference(nnf_transformation,[status(thm)],[f32]) ).
fof(f32_sk,plain,
! [X52,X53,X54,X55] :
( ~ p6(X52,X54)
| ~ p6(X53,X55)
| p6(f9(X52,X53),f9(X54,X55)) ),
inference(skolemisation,[status(esa)],[f32_nnf]) ).
cnf(c32,plain,
( ~ p6(X0,X2)
| ~ p6(X1,X3)
| p6(f9(X0,X1),f9(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f32_sk]) ).
cnf(hi31,negated_conjecture,
ifeq(p6(X0,X1),true,ifeq(p6(X2,X3),true,p6(f9(X2,X0),f9(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c32]) ).
cnf(h5,plain,
p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) = true,
inference(hyper_resolution,[status(thm)],[hi31,h2,h3]) ).
cnf(f3,negated_conjecture,
p6(X45,X45),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_4) ).
fof(f3_nnf,plain,
! [X45] : p6(X45,X45),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X45] : p6(X45,X45),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p6(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
p6(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h4,plain,
p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(f3(c19)),f7(f3(c18)))) = true,
inference(hyper_resolution,[status(thm)],[hi31,hi3,hi3]) ).
cnf(f22,negated_conjecture,
( ~ p6(X45,X47)
| ~ p6(X45,X46)
| p6(X46,X47) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_23) ).
fof(f22_nnf,plain,
! [X46,X47,X45] :
( ~ p6(X45,X47)
| ~ p6(X45,X46)
| p6(X46,X47) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X46,X47,X45] :
( ~ p6(X45,X47)
| ~ p6(X45,X46)
| p6(X46,X47) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p6(X2,X1)
| ~ p6(X2,X0)
| p6(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(p6(X0,X1),true,ifeq(p6(X0,X2),true,p6(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(h6,plain,
p6(f9(f7(f3(c19)),f7(f3(c18))),f9(f7(c19),f7(c18))) = true,
inference(hyper_resolution,[status(thm)],[hi22,h4,h5]) ).
cnf(f1,negated_conjecture,
p15(f3(c18)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_2) ).
fof(f1_nnf,plain,
p15(f3(c18)),
inference(nnf_transformation,[status(thm)],[f1]) ).
cnf(c1,plain,
p15(f3(c18)),
inference(cnf_transformation,[status(esa)],[f1_nnf]) ).
cnf(hi1,negated_conjecture,
p15(f3(c18)) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h1,plain,
p15(f3(c18)) = true,
inference(hyper_resolution,[status(thm)],[hi1]) ).
cnf(f0,negated_conjecture,
p15(f3(c19)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f3_is_p15_1) ).
fof(f0_nnf,plain,
p15(f3(c19)),
inference(nnf_transformation,[status(thm)],[f0]) ).
cnf(c0,plain,
p15(f3(c19)),
inference(cnf_transformation,[status(esa)],[f0_nnf]) ).
cnf(hi0,negated_conjecture,
p15(f3(c19)) = true,
inference(equality_encoding,[status(esa)],[c0]) ).
cnf(h0,plain,
p15(f3(c19)) = true,
inference(hyper_resolution,[status(thm)],[hi0]) ).
cnf(f37,negated_conjecture,
( ~ p15(X15)
| ~ p15(X14)
| p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_38) ).
fof(f37_nnf,plain,
! [X14,X15] :
( ~ p15(X15)
| ~ p15(X14)
| p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15))) ),
inference(nnf_transformation,[status(thm)],[f37]) ).
fof(f37_sk,plain,
! [X14,X15] :
( ~ p15(X15)
| ~ p15(X14)
| p6(f7(f10(X14,X15)),f9(f7(X14),f7(X15))) ),
inference(skolemisation,[status(esa)],[f37_nnf]) ).
cnf(c37,plain,
( ~ p15(X1)
| ~ p15(X0)
| p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1))) ),
inference(cnf_transformation,[status(esa)],[f37_sk]) ).
cnf(hi36,negated_conjecture,
ifeq(p15(X0),true,ifeq(p15(X1),true,p6(f7(f10(X0,X1)),f9(f7(X0),f7(X1))),true),true) = true,
inference(equality_encoding,[status(esa)],[c37]) ).
cnf(h7,plain,
p6(f7(f10(f3(c19),f3(c18))),f9(f7(f3(c19)),f7(f3(c18)))) = true,
inference(hyper_resolution,[status(thm)],[hi36,h0,h1]) ).
cnf(h8,plain,
p6(f9(f7(f3(c19)),f7(f3(c18))),f7(f10(f3(c19),f3(c18)))) = true,
inference(hyper_resolution,[status(thm)],[hi22,h7,hi3]) ).
cnf(t25,plain,
p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))) = true,
inference(hyper_resolution,[status(thm)],[hi22,h8,h6]) ).
cnf(t134,plain,
p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))) = true,
inference(orient,[status(thm)],[t25]) ).
cnf(f27,negated_conjecture,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p6_28) ).
fof(f27_nnf,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
~ p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(goal_0,negated_conjecture,
p6(f7(f10(f3(c19),f3(c18))),f9(f7(c19),f7(c18))) != true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t134]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN641-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.03/11.14 % Computer : n012.cluster.edu
% 0.03/11.14 % Model : x86_64 x86_64
% 0.03/11.14 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/11.14 % Memory : 8046.5625MB
% 0.03/11.14 % OS : Linux 6.8.0-71-generic
% 0.03/11.14 % CPULimit : 300
% 0.03/11.14 % WCLimit : 300
% 0.03/11.14 % DateTime : Fri Sep 25 01:58:03 UTC 2026
% 0.03/11.14 % CPUTime :
% 0.03/11.14 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.07/11.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/11.65 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------