%------------------------------------------------------------------------------
% File : FindProof---0.1
% Problem : SYN626-1 : 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 03:35:21 PM UTC 2026
% Result : Unsatisfiable 5.68s 1.30s
% Output : Proof 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of formulae : 48 ( 32 unt; 0 def)
% Number of atoms : 76 ( 16 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-4 aty)
% Number of variables : 60 ( 0 sgn 24 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
cnf(f8,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_9) ).
fof(f8_nnf,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(nnf_transformation,[status(thm)],[f8]) ).
cnf(c8,plain,
p15(c22,f8(f5(c20),f9(c23,c24))),
inference(cnf_transformation,[status(esa)],[f8_nnf]) ).
cnf(hi8,negated_conjecture,
p15(c22,f8(f5(c20),f9(c23,c24))) = true,
inference(equality_encoding,[status(esa)],[c8]) ).
cnf(h10,plain,
p15(c22,f8(f5(c20),f9(c23,c24))) = true,
inference(hyper_resolution,[status(thm)],[hi8]) ).
cnf(f7,negated_conjecture,
( ~ p15(X14,X15)
| p16(X14,X15) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p16_8) ).
fof(f7_nnf,plain,
! [X14,X15] :
( ~ p15(X14,X15)
| p16(X14,X15) ),
inference(nnf_transformation,[status(thm)],[f7]) ).
fof(f7_sk,plain,
! [X14,X15] :
( ~ p15(X14,X15)
| p16(X14,X15) ),
inference(skolemisation,[status(esa)],[f7_nnf]) ).
cnf(c7,plain,
( ~ p15(X0,X1)
| p16(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f7_sk]) ).
cnf(hi7,negated_conjecture,
ifeq(p15(X0,X1),true,p16(X0,X1),true) = true,
inference(equality_encoding,[status(esa)],[c7]) ).
cnf(h11,plain,
p16(c22,f8(f5(c20),f9(c23,c24))) = true,
inference(hyper_resolution,[status(thm)],[hi7,h10]) ).
cnf(f14,negated_conjecture,
( ~ p16(c22,X20)
| p7(f12(f13(X20)),X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_15) ).
fof(f14_nnf,plain,
! [X20] :
( ~ p16(c22,X20)
| p7(f12(f13(X20)),X20) ),
inference(nnf_transformation,[status(thm)],[f14]) ).
fof(f14_sk,plain,
! [X20] :
( ~ p16(c22,X20)
| p7(f12(f13(X20)),X20) ),
inference(skolemisation,[status(esa)],[f14_nnf]) ).
cnf(c14,plain,
( ~ p16(c22,X0)
| p7(f12(f13(X0)),X0) ),
inference(cnf_transformation,[status(esa)],[f14_sk]) ).
cnf(hi14,negated_conjecture,
ifeq(p16(c22,X0),true,p7(f12(f13(X0)),X0),true) = true,
inference(equality_encoding,[status(esa)],[c14]) ).
cnf(h12,plain,
p7(f12(f13(f8(f5(c20),f9(c23,c24)))),f8(f5(c20),f9(c23,c24))) = true,
inference(hyper_resolution,[status(thm)],[hi14,h11]) ).
cnf(f16,negated_conjecture,
( ~ p7(X54,X56)
| ~ p7(X54,X55)
| p7(X55,X56) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_17) ).
fof(f16_nnf,plain,
! [X55,X56,X54] :
( ~ p7(X54,X56)
| ~ p7(X54,X55)
| p7(X55,X56) ),
inference(nnf_transformation,[status(thm)],[f16]) ).
fof(f16_sk,plain,
! [X55,X56,X54] :
( ~ p7(X54,X56)
| ~ p7(X54,X55)
| p7(X55,X56) ),
inference(skolemisation,[status(esa)],[f16_nnf]) ).
cnf(c16,plain,
( ~ p7(X2,X1)
| ~ p7(X2,X0)
| p7(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f16_sk]) ).
cnf(hi16,negated_conjecture,
ifeq(p7(X0,X1),true,ifeq(p7(X0,X2),true,p7(X1,X2),true),true) = true,
inference(equality_encoding,[status(esa)],[c16]) ).
cnf(f1,negated_conjecture,
p7(X54,X54),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p7_2) ).
fof(f1_nnf,plain,
! [X54] : p7(X54,X54),
inference(nnf_transformation,[status(thm)],[f1]) ).
fof(f1_sk,plain,
! [X54] : p7(X54,X54),
inference(skolemisation,[status(esa)],[f1_nnf]) ).
cnf(c1,plain,
p7(X0,X0),
inference(cnf_transformation,[status(esa)],[f1_sk]) ).
cnf(hi1,negated_conjecture,
p7(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c1]) ).
cnf(h13,plain,
p7(f8(f5(c20),f9(c23,c24)),f12(f13(f8(f5(c20),f9(c23,c24))))) = true,
inference(hyper_resolution,[status(thm)],[hi16,h12,hi1]) ).
cnf(f2,negated_conjecture,
p6(X47,X47),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p6_3) ).
fof(f2_nnf,plain,
! [X47] : p6(X47,X47),
inference(nnf_transformation,[status(thm)],[f2]) ).
fof(f2_sk,plain,
! [X47] : p6(X47,X47),
inference(skolemisation,[status(esa)],[f2_nnf]) ).
cnf(c2,plain,
p6(X0,X0),
inference(cnf_transformation,[status(esa)],[f2_sk]) ).
cnf(hi2,negated_conjecture,
p6(X0,X0) = true,
inference(equality_encoding,[status(esa)],[c2]) ).
cnf(h6,plain,
p6(c22,c22) = true,
inference(hyper_resolution,[status(thm)],[hi2]) ).
cnf(f30,negated_conjecture,
( ~ p15(X12,X13)
| ~ p7(X13,X11)
| ~ p6(X12,X10)
| p15(X10,X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',p15_31) ).
fof(f30_nnf,plain,
! [X10,X11,X12,X13] :
( ~ p15(X12,X13)
| ~ p7(X13,X11)
| ~ p6(X12,X10)
| p15(X10,X11) ),
inference(nnf_transformation,[status(thm)],[f30]) ).
fof(f30_sk,plain,
! [X10,X11,X12,X13] :
( ~ p15(X12,X13)
| ~ p7(X13,X11)
| ~ p6(X12,X10)
| p15(X10,X11) ),
inference(skolemisation,[status(esa)],[f30_nnf]) ).
cnf(c30,plain,
( ~ p15(X2,X3)
| ~ p7(X3,X1)
| ~ p6(X2,X0)
| p15(X0,X1) ),
inference(cnf_transformation,[status(esa)],[f30_sk]) ).
cnf(hi29,negated_conjecture,
ifeq(p6(X0,X1),true,ifeq(p7(X2,X3),true,ifeq(p15(X0,X2),true,p15(X1,X3),true),true),true) = true,
inference(equality_encoding,[status(esa)],[c30]) ).
cnf(t15,plain,
p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) = true,
inference(hyper_resolution,[status(thm)],[hi29,h6,h13,hi8]) ).
cnf(t102,plain,
p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) = true,
inference(orient,[status(thm)],[t15]) ).
cnf(f23,negated_conjecture,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_p15_24) ).
fof(f23_nnf,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(nnf_transformation,[status(thm)],[f23]) ).
fof(f23_sk,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(skolemisation,[status(esa)],[f23_nnf]) ).
cnf(c23,plain,
~ p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))),
inference(cnf_transformation,[status(esa)],[f23_sk]) ).
cnf(goal_0,negated_conjecture,
p15(c22,f12(f13(f8(f5(c20),f9(c23,c24))))) != true,
inference(equality_encoding,[status(esa)],[c23]) ).
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
% 0.00/0.02 % Problem : SYN626-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.10/0.35 % Computer : n017.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.36 % DateTime : Fri Sep 25 01:50:46 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_findproof /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 5.68/1.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.68/1.30 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------