%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% Computer : n017.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 03:35:17 PM UTC 2026
% Result : Unsatisfiable 14.05s 2.27s
% Output : Proof 14.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 50 unt; 0 def)
% Number of atoms : 106 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 46 ~; 40 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 110 ( 0 sgn 44 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(h4,plain,
p10(c24,c24) = true,
inference(hyper_resolution,[status(thm)],[hi0]) ).
cnf(f1,negated_conjecture,
p9(X50,X50),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p9_2) ).
fof(f1_nnf,plain,
! [X50] : p9(X50,X50),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X50] : p9(X50,X50),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p9(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p9(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h3,plain,
p9(c23,c23) = true,
inference(hyper_resolution,[status(thm)],[hi1]) ).
cnf(f2,negated_conjecture,
p3(X35,X35),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_3) ).
fof(f2_nnf,plain,
! [X35] : p3(X35,X35),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X35] : p3(X35,X35),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p3(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p3(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h2,plain,
p3(f15(c20),f15(c20)) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(f6,negated_conjecture,
p3(c21,c22),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p3_7) ).
fof(f6_nnf,plain,
p3(c21,c22),
inference(nnf_transformation,[status(thm)],[f6]) ).
cnf(c6,plain,
p3(c21,c22),
inference(cnf_transformation,[status(esa)],[f6_nnf]) ).
cnf(hi6,negated_conjecture,
p3(c21,c22) = true,
inference(equality_encoding,[status(esa)],[c6]) ).
cnf(h1,plain,
p3(c21,c22) = true,
inference(hyper_resolution,[status(thm)],[hi6]) ).
cnf(h0,plain,
p3(f4(c20),f4(c20)) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(f26,negated_conjecture,
( ~ p3(X13,X15)
| ~ p3(X12,X14)
| p12(f14(X12,X13),f14(X14,X15)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p12_27) ).
fof(f26_nnf,plain,
! [X12,X13,X14,X15] :
( ~ p3(X13,X15)
| ~ p3(X12,X14)
| p12(f14(X12,X13),f14(X14,X15)) ),
inference(nnf_transformation,[status(thm)],[f26]) ).
fof(f26_sk,plain,
! [X12,X13,X14,X15] :
( ~ p3(X13,X15)
| ~ p3(X12,X14)
| p12(f14(X12,X13),f14(X14,X15)) ),
inference(skolemisation,[status(esa)],[f26_nnf]) ).
cnf(c26,plain,
( ~ p3(X1,X3)
| ~ p3(X0,X2)
| p12(f14(X0,X1),f14(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f26_sk]) ).
cnf(hi25,negated_conjecture,
ifeq(p3(X0,X1),true,ifeq(p3(X2,X3),true,p12(f14(X0,X2),f14(X1,X3)),true),true) = true,
inference(equality_encoding,[status(esa)],[c26]) ).
cnf(h6,plain,
p12(f14(f4(c20),c21),f14(f4(c20),c22)) = true,
inference(hyper_resolution,[status(thm)],[hi25,h0,h1]) ).
cnf(f25,negated_conjecture,
( ~ p3(X31,X33)
| ~ p12(X32,X34)
| p2(f13(X31,X32),f13(X33,X34)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_26) ).
fof(f25_nnf,plain,
! [X31,X32,X33,X34] :
( ~ p3(X31,X33)
| ~ p12(X32,X34)
| p2(f13(X31,X32),f13(X33,X34)) ),
inference(nnf_transformation,[status(thm)],[f25]) ).
fof(f25_sk,plain,
! [X31,X32,X33,X34] :
( ~ p3(X31,X33)
| ~ p12(X32,X34)
| p2(f13(X31,X32),f13(X33,X34)) ),
inference(skolemisation,[status(esa)],[f25_nnf]) ).
cnf(c25,plain,
( ~ p3(X0,X2)
| ~ p12(X1,X3)
| p2(f13(X0,X1),f13(X2,X3)) ),
inference(cnf_transformation,[status(esa)],[f25_sk]) ).
cnf(hi24,negated_conjecture,
ifeq(p12(X0,X1),true,ifeq(p3(X2,X3),true,p2(f13(X2,X0),f13(X3,X1)),true),true) = true,
inference(equality_encoding,[status(esa)],[c25]) ).
cnf(h7,plain,
p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) = true,
inference(hyper_resolution,[status(thm)],[hi24,h6,h2]) ).
cnf(f27,negated_conjecture,
( ~ p10(X5,X8)
| ~ p9(X4,X7)
| ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p10_28) ).
fof(f27_nnf,plain,
! [X3,X4,X5,X6,X7,X8] :
( ~ p10(X5,X8)
| ~ p9(X4,X7)
| ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ),
inference(nnf_transformation,[status(thm)],[f27]) ).
fof(f27_sk,plain,
! [X3,X4,X5,X6,X7,X8] :
( ~ p10(X5,X8)
| ~ p9(X4,X7)
| ~ p2(X3,X6)
| p10(f11(X3,X4,X5),f11(X6,X7,X8)) ),
inference(skolemisation,[status(esa)],[f27_nnf]) ).
cnf(c27,plain,
( ~ p10(X2,X5)
| ~ p9(X1,X4)
| ~ p2(X0,X3)
| p10(f11(X0,X1,X2),f11(X3,X4,X5)) ),
inference(cnf_transformation,[status(esa)],[f27_sk]) ).
cnf(hi26,negated_conjecture,
ifeq(p2(X0,X1),true,ifeq(p9(X2,X3),true,ifeq(p10(X4,X5),true,p10(f11(X0,X2,X4),f11(X1,X3,X5)),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c27]) ).
cnf(h8,plain,
p10(f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24),f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(hyper_resolution,[status(thm)],[hi26,h7,h3,h4]) ).
cnf(f3,negated_conjecture,
p2(X28,X28),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p2_4) ).
fof(f3_nnf,plain,
! [X28] : p2(X28,X28),
inference(nnf_transformation,[status(thm)],[f3]) ).
fof(f3_sk,plain,
! [X28] : p2(X28,X28),
inference(skolemisation,[status(esa)],[f3_nnf]) ).
cnf(c3,plain,
p2(X0,X0),
inference(cnf_transformation,[status(esa)],[f3_sk]) ).
cnf(hi3,negated_conjecture,
p2(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c3]) ).
cnf(h5,plain,
p2(c20,c20) = true,
inference(hyper_resolution,[status(thm)],[hi3]) ).
cnf(f23,negated_conjecture,
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_24) ).
fof(f23_nnf,plain,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
! [X24,X25,X27,X26] :
( ~ p10(X26,X25)
| ~ p2(X27,X24)
| ~ p18(X27,X26)
| p18(X24,X25) ),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
( ~ p10(X3,X1)
| ~ p2(X2,X0)
| ~ p18(X2,X3)
| p18(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(hi22,negated_conjecture,
ifeq(p18(X0,X1),true,ifeq(p2(X0,X2),true,ifeq(p10(X1,X3),true,p18(X2,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c23]) ).
cnf(f20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p18_21) ).
fof(f20_nnf,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(nnf_transformation,[status(thm)],[f20]) ).
cnf(c20,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f20_nnf]) ).
cnf(hi20,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)) = true,
inference(equality_encoding,[status(esa)],[c20]) ).
cnf(t17,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(hyper_resolution,[status(thm)],[hi22,hi20,h5,h8]) ).
cnf(t102,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) = true,
inference(orient,[status(thm)],[t17]) ).
cnf(f21,negated_conjecture,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p18_22) ).
fof(f21_nnf,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(nnf_transformation,[status(thm)],[f21]) ).
fof(f21_sk,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(skolemisation,[status(esa)],[f21_nnf]) ).
cnf(c21,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(cnf_transformation,[status(esa)],[f21_sk]) ).
cnf(goal_0,negated_conjecture,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)) != true,
inference(equality_encoding,[status(esa)],[c21]) ).
cnf(g0_0,plain,
true != true,
inference(rw,[status(thm)],[goal_0,t102]) ).
cnf(contradiction_0,plain,
$false,
inference(trivial_inequality_removal,[status(thm)],[g0_0]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.11/0.37 % Computer : n017.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Fri Sep 25 01:46:01 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 14.05/2.27 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 14.05/2.27 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------