%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN703-1 : 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 : n014.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 09:39:09 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 16 unt; 0 def)
% Number of atoms : 49 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 24 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 29 ( 29 usr; 11 con; 0-2 aty)
% Number of variables : 73 ( 10 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p15_5,axiom,
! [VAR_0] : p15(VAR_0,VAR_0),
file('theBenchmark.p',p15_5) ).
cnf(c_5,plain,
p15(A,A),
inference(clausify,[status(thm)],[p15_5]) ).
fof(p2_8,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_8) ).
cnf(c_8,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_8]) ).
fof(not_p47_51,axiom,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
file('theBenchmark.p',not_p47_51) ).
cnf(c_51,plain,
~ p47(f5(c48,f8(f11(f13(c49,c50),c51),c52)),c53),
inference(clausify,[status(thm)],[not_p47_51]) ).
fof(p47_53,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p15(VAR_3,VAR_1)
| ~ p47(VAR_2,VAR_3)
| ~ p4(VAR_2,VAR_0)
| p47(VAR_0,VAR_1) ),
file('theBenchmark.p',p47_53) ).
cnf(c_53,plain,
( ~ p15(D,B)
| ~ p47(C,D)
| ~ p4(C,A)
| p47(A,B) ),
inference(clausify,[status(thm)],[p47_53]) ).
fof(p4_60,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p4(f5(VAR_0,VAR_1),f5(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_60) ).
cnf(c_60,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_60]) ).
fof(p47_74,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p47(f5(c48,f8(f11(f13(c49,VAR_0),VAR_2),VAR_3)),VAR_1)
| p47(VAR_0,VAR_1) ),
file('theBenchmark.p',p47_74) ).
cnf(c_74,plain,
( ~ p47(f5(c48,f8(f11(f13(c49,A),C),D)),B)
| p47(A,B) ),
inference(clausify,[status(thm)],[p47_74]) ).
fof(p47_75,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4] :
( ~ p47(f20(f22(f24(f26(c56,VAR_0),VAR_2),VAR_3),VAR_4),VAR_1)
| p47(VAR_0,VAR_1) ),
file('theBenchmark.p',p47_75) ).
cnf(c_75,plain,
( ~ p47(f20(f22(f24(f26(c56,A),C),D),E),B)
| p47(A,B) ),
inference(clausify,[status(thm)],[p47_75]) ).
fof(p47_76,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p47(VAR_0,VAR_3)
| p47(f5(c48,f8(f11(f13(c49,VAR_0),VAR_1),VAR_2)),VAR_3) ),
file('theBenchmark.p',p47_76) ).
cnf(c_76,plain,
( ~ p47(A,D)
| p47(f5(c48,f8(f11(f13(c49,A),B),C)),D) ),
inference(clausify,[status(thm)],[p47_76]) ).
fof(p47_77,axiom,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
file('theBenchmark.p',p47_77) ).
cnf(c_77,plain,
p47(f5(c48,f16(f18(c54,f8(f11(f13(c49,c50),c51),c52)),c55)),c53),
inference(clausify,[status(thm)],[p47_77]) ).
fof(p3_80,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : p3(f16(f18(c54,f8(f11(f13(c49,VAR_0),VAR_1),VAR_2)),VAR_3),f8(f11(f13(c49,f20(f22(f24(f26(c56,VAR_0),VAR_1),VAR_2),VAR_3)),f30(f32(f34(f36(c57,VAR_0),VAR_1),VAR_2),VAR_3)),f40(f42(f44(f46(c58,VAR_0),VAR_1),VAR_2),VAR_3))),
file('theBenchmark.p',p3_80) ).
cnf(c_80,plain,
p3(f16(f18(c54,f8(f11(f13(c49,A),B),C)),D),f8(f11(f13(c49,f20(f22(f24(f26(c56,A),B),C),D)),f30(f32(f34(f36(c57,A),B),C),D)),f40(f42(f44(f46(c58,A),B),C),D))),
inference(clausify,[status(thm)],[p3_80]) ).
cnf(c_87,plain,
~ p47(c50,c53),
inference(resolve,[status(thm)],[c_76,c_51]) ).
cnf(c_194,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_60,c_8]) ).
cnf(c_92,plain,
p4(f5(A,f16(f18(c54,f8(f11(f13(c49,B),C),D)),E)),f5(A,f8(f11(f13(c49,f20(f22(f24(f26(c56,B),C),D),E)),f30(f32(f34(f36(c57,B),C),D),E)),f40(f42(f44(f46(c58,B),C),D),E)))),
inference(resolve,[status(thm)],[c_194,c_80]) ).
cnf(c_107,plain,
~ p47(f20(f22(f24(f26(c56,c50),A),B),C),c53),
inference(resolve,[status(thm)],[c_87,c_75]) ).
cnf(c_195,plain,
( ~ p15(V6,F)
| ~ p47(f5(A,f16(f18(c54,f8(f11(f13(c49,B),C),D)),E)),V6)
| p47(f5(A,f8(f11(f13(c49,f20(f22(f24(f26(c56,B),C),D),E)),f30(f32(f34(f36(c57,B),C),D),E)),f40(f42(f44(f46(c58,B),C),D),E))),F) ),
inference(resolve,[status(thm)],[c_53,c_92]) ).
cnf(c_196,plain,
( ~ p15(c53,A)
| p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),A) ),
inference(resolve,[status(thm)],[c_195,c_77]) ).
cnf(c_135,plain,
p47(f5(c48,f8(f11(f13(c49,f20(f22(f24(f26(c56,c50),c51),c52),c55)),f30(f32(f34(f36(c57,c50),c51),c52),c55)),f40(f42(f44(f46(c58,c50),c51),c52),c55))),c53),
inference(resolve,[status(thm)],[c_196,c_5]) ).
cnf(c_197,plain,
p47(f20(f22(f24(f26(c56,c50),c51),c52),c55),c53),
inference(resolve,[status(thm)],[c_74,c_135]) ).
cnf(c_193,plain,
$false,
inference(resolve,[status(thm)],[c_107,c_197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN703-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n014.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 18:21:02 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.07/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.36 % Process 3827806 was started by sandbox on n014,
% 0.07/0.36 % Sat Sep 26 18:21:02 2026
% 0.07/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39
% 0.12/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.39 % Length of proof is 15.
% 0.12/0.39 % Level of proof is 3.
% 0.12/0.39 % Maximum clause weight is 92.000.
% 0.12/0.39 % Given clauses 97.
% 0.12/0.39
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------