%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n006.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 03:35:24 PM UTC 2026
% Result : Unsatisfiable 3.17s 0.89s
% Output : Proof 3.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 54 ( 42 unt; 0 def)
% Number of atoms : 74 ( 19 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 10 con; 0-4 aty)
% Number of variables : 65 ( 0 sgn 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f15,negated_conjecture,
p4(c34,f5(c35,c32)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_16) ).
fof(f15_nnf,plain,
p4(c34,f5(c35,c32)),
inference(nnf_transformation,[status(thm)],[f15]) ).
cnf(c15,plain,
p4(c34,f5(c35,c32)),
inference(cnf_transformation,[status(esa)],[f15_nnf]) ).
cnf(hi15,negated_conjecture,
p4(c34,f5(c35,c32)) = true,
inference(equality_encoding,[status(esa)],[c15]) ).
cnf(h2,plain,
p4(c34,f5(c35,c32)) = true,
inference(hyper_resolution,[status(thm)],[hi15]) ).
cnf(f13,negated_conjecture,
p14(X6,X6),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p14_14) ).
fof(f13_nnf,plain,
! [X6] : p14(X6,X6),
inference(nnf_transformation,[status(thm)],[f13]) ).
fof(f13_sk,plain,
! [X6] : p14(X6,X6),
inference(skolemisation,[status(esa)],[f13_nnf]) ).
cnf(c13,plain,
p14(X0,X0),
inference(cnf_transformation,[status(esa)],[f13_sk]) ).
cnf(hi13,negated_conjecture,
p14(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c13]) ).
cnf(h0,plain,
p14(f17(c36,c31),f17(c36,c31)) = true,
inference(hyper_resolution,[status(thm)],[hi13]) ).
cnf(f40,negated_conjecture,
( ~ p4(X57,X59)
| ~ p14(X56,X58)
| p4(f15(X56,X57),f15(X58,X59)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_41) ).
fof(f40_nnf,plain,
! [X56,X57,X58,X59] :
( ~ p4(X57,X59)
| ~ p14(X56,X58)
| p4(f15(X56,X57),f15(X58,X59)) ),
inference(nnf_transformation,[status(thm)],[f40]) ).
fof(f40_sk,plain,
! [X56,X57,X58,X59] :
( ~ p4(X57,X59)
| ~ p14(X56,X58)
| p4(f15(X56,X57),f15(X58,X59)) ),
inference(skolemisation,[status(esa)],[f40_nnf]) ).
cnf(c40,plain,
( ~ p4(X1,X3)
| ~ p14(X0,X2)
| p4(f15(X0,X1),f15(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f40_sk]) ).
cnf(hi39,negated_conjecture,
ifeq(p14(X0,X1),true,ifeq(p4(X2,X3),true,p4(f15(X0,X2),f15(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c40]) ).
cnf(h6,plain,
p4(f15(f17(c36,c31),c34),f15(f17(c36,c31),f5(c35,c32))) = true,
inference(hyper_resolution,[status(thm)],[hi39,h0,h2]) ).
cnf(f22,negated_conjecture,
( ~ p4(X53,X55)
| ~ p4(X53,X54)
| p4(X54,X55) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_23) ).
fof(f22_nnf,plain,
! [X54,X55,X53] :
( ~ p4(X53,X55)
| ~ p4(X53,X54)
| p4(X54,X55) ),
inference(nnf_transformation,[status(thm)],[f22]) ).
fof(f22_sk,plain,
! [X54,X55,X53] :
( ~ p4(X53,X55)
| ~ p4(X53,X54)
| p4(X54,X55) ),
inference(skolemisation,[status(esa)],[f22_nnf]) ).
cnf(c22,plain,
( ~ p4(X2,X1)
| ~ p4(X2,X0)
| p4(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f22_sk]) ).
cnf(hi21,negated_conjecture,
ifeq(p4(X0,X1),true,ifeq(p4(X0,X2),true,p4(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c22]) ).
cnf(f4,negated_conjecture,
p4(X53,X53),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_5) ).
fof(f4_nnf,plain,
! [X53] : p4(X53,X53),
inference(nnf_transformation,[status(thm)],[f4]) ).
fof(f4_sk,plain,
! [X53] : p4(X53,X53),
inference(skolemisation,[status(esa)],[f4_nnf]) ).
cnf(c4,plain,
p4(X0,X0),
inference(cnf_transformation,[status(esa)],[f4_sk]) ).
cnf(hi4,negated_conjecture,
p4(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c4]) ).
cnf(h7,plain,
p4(f15(f17(c36,c31),f5(c35,c32)),f15(f17(c36,c31),c34)) = true,
inference(hyper_resolution,[status(thm)],[hi21,h6,hi4]) ).
cnf(f45,negated_conjecture,
( ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74)
| p4(f5(c31,X73),f5(c31,X74)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_46) ).
fof(f45_nnf,plain,
! [X73,X74] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74)
| p4(f5(c31,X73),f5(c31,X74)) ),
inference(nnf_transformation,[status(thm)],[f45]) ).
fof(f45_sk,plain,
! [X73,X74] :
( ~ p27(f8(f10(c28,f13(c29,c30)),X73),X74)
| p4(f5(c31,X73),f5(c31,X74)) ),
inference(skolemisation,[status(esa)],[f45_nnf]) ).
cnf(c45,plain,
( ~ p27(f8(f10(c28,f13(c29,c30)),X0),X1)
| p4(f5(c31,X0),f5(c31,X1)) ),
inference(cnf_transformation,[status(esa)],[f45_sk]) ).
cnf(hi44,negated_conjecture,
ifeq(p27(f8(f10(c28,f13(c29,c30)),X0),X1),true,p4(f5(c31,X0),f5(c31,X1)),true) = true,
inference(equality_encoding,[status(esa)],[c45]) ).
cnf(f16,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p27_17) ).
fof(f16_nnf,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(nnf_transformation,[status(thm)],[f16]) ).
cnf(c16,plain,
p27(f8(f10(c28,f13(c29,c30)),c32),c33),
inference(cnf_transformation,[status(esa)],[f16_nnf]) ).
cnf(hi16,negated_conjecture,
p27(f8(f10(c28,f13(c29,c30)),c32),c33) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(h4,plain,
p4(f5(c31,c32),f5(c31,c33)) = true,
inference(hyper_resolution,[status(thm)],[hi44,hi16]) ).
cnf(f33,negated_conjecture,
p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p4_34) ).
fof(f33_nnf,plain,
! [X60,X61] : p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
inference(nnf_transformation,[status(thm)],[f33]) ).
fof(f33_sk,plain,
! [X60,X61] : p4(f15(f17(c36,X60),f5(c35,X61)),f5(X60,X61)),
inference(skolemisation,[status(esa)],[f33_nnf]) ).
cnf(c33,plain,
p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)),
inference(cnf_transformation,[status(esa)],[f33_sk]) ).
cnf(hi32,negated_conjecture,
p4(f15(f17(c36,X0),f5(c35,X1)),f5(X0,X1)) = true,
inference(equality_encoding,[status(esa)],[c33]) ).
cnf(h3,plain,
p4(f5(c31,c32),f15(f17(c36,c31),f5(c35,c32))) = true,
inference(hyper_resolution,[status(thm)],[hi21,hi32,hi4]) ).
cnf(h5,plain,
p4(f15(f17(c36,c31),f5(c35,c32)),f5(c31,c33)) = true,
inference(hyper_resolution,[status(thm)],[hi21,h3,h4]) ).
cnf(t18,plain,
p4(f5(c31,c33),f15(f17(c36,c31),c34)) = true,
inference(hyper_resolution,[status(thm)],[hi21,h5,h7]) ).
cnf(t85,plain,
p4(f5(c31,c33),f15(f17(c36,c31),c34)) = true,
inference(orient,[status(thm)],[t18]) ).
cnf(f17,negated_conjecture,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p4_18) ).
fof(f17_nnf,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(nnf_transformation,[status(thm)],[f17]) ).
fof(f17_sk,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(skolemisation,[status(esa)],[f17_nnf]) ).
cnf(c17,plain,
~ p4(f5(c31,c33),f15(f17(c36,c31),c34)),
inference(cnf_transformation,[status(esa)],[f17_sk]) ).
cnf(goal_0,negated_conjecture,
p4(f5(c31,c33),f15(f17(c36,c31),c34)) != true,
inference(equality_encoding,[status(esa)],[c17]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t85]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN652-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.36 % Computer : n006.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:59:26 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.17/0.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.17/0.89 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------