%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN705-1 : 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 : n002.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 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% 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 : 68 ( 10 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_3,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_3) ).
cnf(c_3,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_3]) ).
fof(p2_20,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_20) ).
cnf(c_20,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_20]) ).
fof(not_p47_51,axiom,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
file('theBenchmark.p',not_p47_51) ).
cnf(c_51,plain,
~ p47(f5(c48,f13(f16(f18(c50,c51),c52),c53)),c55),
inference(clausify,[status(thm)],[not_p47_51]) ).
fof(p47_53,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p4(VAR_2,VAR_0)
| ~ p7(VAR_3,VAR_1)
| ~ p47(VAR_2,VAR_3)
| p47(VAR_0,VAR_1) ),
file('theBenchmark.p',p47_53) ).
cnf(c_53,plain,
( ~ p4(C,A)
| ~ p7(D,B)
| ~ p47(C,D)
| p47(A,B) ),
inference(clausify,[status(thm)],[p47_53]) ).
fof(p4_58,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_58) ).
cnf(c_58,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_58]) ).
fof(p47_74,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p47(f5(c48,f13(f16(f18(c50,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,f13(f16(f18(c50,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,f13(f16(f18(c50,VAR_0),VAR_1),VAR_2)),VAR_3) ),
file('theBenchmark.p',p47_76) ).
cnf(c_76,plain,
( ~ p47(A,D)
| p47(f5(c48,f13(f16(f18(c50,A),B),C)),D) ),
inference(clausify,[status(thm)],[p47_76]) ).
fof(p47_77,axiom,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
file('theBenchmark.p',p47_77) ).
cnf(c_77,plain,
p47(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),c55),
inference(clausify,[status(thm)],[p47_77]) ).
fof(p3_80,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : p3(f8(f10(c49,f13(f16(f18(c50,VAR_0),VAR_1),VAR_2)),VAR_3),f13(f16(f18(c50,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(f8(f10(c49,f13(f16(f18(c50,A),B),C)),D),f13(f16(f18(c50,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(c51,c55),
inference(resolve,[status(thm)],[c_76,c_51]) ).
cnf(c_159,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_58,c_20]) ).
cnf(c_91,plain,
p4(f5(A,f8(f10(c49,f13(f16(f18(c50,B),C),D)),E)),f5(A,f13(f16(f18(c50,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_159,c_80]) ).
cnf(c_122,plain,
~ p47(f20(f22(f24(f26(c56,c51),A),B),C),c55),
inference(resolve,[status(thm)],[c_87,c_75]) ).
cnf(c_160,plain,
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),A)
| ~ p7(c55,B)
| p47(A,B) ),
inference(resolve,[status(thm)],[c_53,c_77]) ).
cnf(c_161,plain,
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),A)
| p47(A,c55) ),
inference(resolve,[status(thm)],[c_160,c_3]) ).
cnf(c_152,plain,
p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,c51),c52),c53),c54)),f30(f32(f34(f36(c57,c51),c52),c53),c54)),f40(f42(f44(f46(c58,c51),c52),c53),c54))),c55),
inference(resolve,[status(thm)],[c_161,c_91]) ).
cnf(c_162,plain,
p47(f20(f22(f24(f26(c56,c51),c52),c53),c54),c55),
inference(resolve,[status(thm)],[c_74,c_152]) ).
cnf(c_158,plain,
$false,
inference(resolve,[status(thm)],[c_122,c_162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN705-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n002.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 18:23:36 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.43 % Process 2374351 was started by sandbox on n002,
% 0.16/0.43 % Sat Sep 26 18:23:36 2026
% 0.16/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.44
% 0.16/0.44 % From the command line: assign(max_seconds, 300).
% 0.16/0.48
% 0.16/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.48
% 0.16/0.48 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.16/0.48 % Length of proof is 15.
% 0.16/0.48 % Level of proof is 3.
% 0.16/0.48 % Maximum clause weight is 92.000.
% 0.16/0.48 % Given clauses 91.
% 0.16/0.48
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------