%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n003.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 : Sun Sep 27 09:39:11 AM UTC 2026
% Result : Unsatisfiable 0.18s 0.49s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 17 ( 3 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p51_22,axiom,
p51(c66,c67),
file('theBenchmark.p',p51_22) ).
cnf(c_22,plain,
p51(c66,c67),
inference(clausify,[status(thm)],[p51_22]) ).
fof(p53_23,axiom,
p53(c68,f17(c66)),
file('theBenchmark.p',p53_23) ).
cnf(c_23,plain,
p53(c68,f17(c66)),
inference(clausify,[status(thm)],[p53_23]) ).
fof(not_p16_24,axiom,
~ p16(f17(c66),c65),
file('theBenchmark.p',not_p16_24) ).
cnf(c_24,plain,
~ p16(f17(c66),c65),
inference(clausify,[status(thm)],[not_p16_24]) ).
fof(p52_28,axiom,
p52(f20(f21(c62,c64)),c66),
file('theBenchmark.p',p52_28) ).
cnf(c_28,plain,
p52(f20(f21(c62,c64)),c66),
inference(clausify,[status(thm)],[p52_28]) ).
fof(not_p50_33,axiom,
~ p50(c66,f25(f27(c59,c68),c67),c60),
file('theBenchmark.p',not_p50_33) ).
cnf(c_33,plain,
~ p50(c66,f25(f27(c59,c68),c67),c60),
inference(clausify,[status(thm)],[not_p50_33]) ).
fof(p50_64,axiom,
! [VAR_0] :
( ~ p53(VAR_0,f17(c66))
| p50(c66,f25(f27(c59,VAR_0),c67),c62) ),
file('theBenchmark.p',p50_64) ).
cnf(c_64,plain,
( ~ p53(A,f17(c66))
| p50(c66,f25(f27(c59,A),c67),c62) ),
inference(clausify,[status(thm)],[p50_64]) ).
fof(p51_87,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p53(VAR_2,f17(VAR_0))
| ~ p51(VAR_0,VAR_3)
| p51(VAR_0,f25(f27(VAR_1,VAR_2),VAR_3)) ),
file('theBenchmark.p',p51_87) ).
cnf(c_87,plain,
( ~ p53(C,f17(A))
| ~ p51(A,D)
| p51(A,f25(f27(B,C),D)) ),
inference(clausify,[status(thm)],[p51_87]) ).
fof(p16_98,axiom,
! [VAR_0,VAR_1] :
( ~ p52(f20(f21(c62,c64)),VAR_0)
| ~ p50(VAR_0,VAR_1,c62)
| ~ p51(VAR_0,VAR_1)
| p50(VAR_0,VAR_1,c60)
| p16(f17(VAR_0),c65) ),
file('theBenchmark.p',p16_98) ).
cnf(c_98,plain,
( ~ p52(f20(f21(c62,c64)),A)
| ~ p50(A,B,c62)
| ~ p51(A,B)
| p50(A,B,c60)
| p16(f17(A),c65) ),
inference(clausify,[status(thm)],[p16_98]) ).
cnf(c_143,plain,
p50(c66,f25(f27(c59,c68),c67),c62),
inference(resolve,[status(thm)],[c_64,c_23]) ).
cnf(c_165,plain,
( ~ p51(c66,B)
| p51(c66,f25(f27(A,c68),B)) ),
inference(resolve,[status(thm)],[c_87,c_23]) ).
cnf(c_284,plain,
( ~ p52(f20(f21(c62,c64)),c66)
| ~ p51(c66,f25(f27(c59,c68),c67))
| p50(c66,f25(f27(c59,c68),c67),c60)
| p16(f17(c66),c65) ),
inference(resolve,[status(thm)],[c_143,c_98]) ).
cnf(c_285,plain,
( ~ p52(f20(f21(c62,c64)),c66)
| ~ p51(c66,f25(f27(c59,c68),c67))
| p50(c66,f25(f27(c59,c68),c67),c60) ),
inference(resolve,[status(thm)],[c_24,c_284]) ).
cnf(c_286,plain,
( ~ p52(f20(f21(c62,c64)),c66)
| ~ p51(c66,f25(f27(c59,c68),c67)) ),
inference(resolve,[status(thm)],[c_33,c_285]) ).
cnf(c_215,plain,
~ p51(c66,f25(f27(c59,c68),c67)),
inference(resolve,[status(thm)],[c_28,c_286]) ).
cnf(c_282,plain,
p51(c66,f25(f27(A,c68),c67)),
inference(resolve,[status(thm)],[c_165,c_22]) ).
cnf(c_283,plain,
$false,
inference(resolve,[status(thm)],[c_282,c_215]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN714-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n003.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Sat Sep 26 18:23:25 UTC 2026
% 0.18/0.44 % CPUTime :
% 0.18/0.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.18/0.45 % Process 3499783 was started by sandbox on n003,
% 0.18/0.45 % Sat Sep 26 18:23:25 2026
% 0.18/0.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.18/0.46
% 0.18/0.46 % From the command line: assign(max_seconds, 300).
% 0.18/0.49
% 0.18/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.49
% 0.18/0.49 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.18/0.49 % Length of proof is 13.
% 0.18/0.49 % Level of proof is 3.
% 0.18/0.49 % Maximum clause weight is 36.000.
% 0.18/0.49 % Given clauses 186.
% 0.18/0.49
% 0.18/0.49 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------