%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 0.15s 5.42s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 0 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 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 : 84 ( 25 sgn 25 !; 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(p7_26,axiom,
p7(c54,c55),
file('theBenchmark.p',p7_26) ).
cnf(c_26,plain,
p7(c54,c55),
inference(clausify,[status(thm)],[p7_26]) ).
fof(p7_29,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(VAR_2,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_29) ).
cnf(c_29,plain,
( ~ p7(C,B)
| ~ p7(C,A)
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_29]) ).
fof(not_p47_52,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] : ~ p47(f20(f22(f24(f26(c56,VAR_0),VAR_1),VAR_2),VAR_3),VAR_3),
file('theBenchmark.p',not_p47_52) ).
cnf(c_52,plain,
~ p47(f20(f22(f24(f26(c56,A),B),C),D),D),
inference(clausify,[status(thm)],[not_p47_52]) ).
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_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_172,plain,
( ~ p7(c54,A)
| p7(c55,A) ),
inference(resolve,[status(thm)],[c_29,c_26]) ).
cnf(c_81,plain,
p7(c55,c54),
inference(resolve,[status(thm)],[c_172,c_3]) ).
cnf(c_90,plain,
~ p47(f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,A),B),C),D)),E),F)),D),
inference(resolve,[status(thm)],[c_74,c_52]) ).
cnf(c_173,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_58,c_20]) ).
cnf(c_94,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_173,c_80]) ).
cnf(c_174,plain,
( ~ p4(A,f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,D),E),F),C)),V6),V7)))
| ~ p7(B,C)
| ~ p47(A,B) ),
inference(resolve,[status(thm)],[c_53,c_90]) ).
cnf(c_175,plain,
( ~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,B),C),D),A)),E),F)))
| ~ p7(c55,A) ),
inference(resolve,[status(thm)],[c_174,c_77]) ).
cnf(c_170,plain,
~ p4(f5(c48,f8(f10(c49,f13(f16(f18(c50,c51),c52),c53)),c54)),f5(c48,f13(f16(f18(c50,f20(f22(f24(f26(c56,A),B),C),c54)),D),E))),
inference(resolve,[status(thm)],[c_175,c_81]) ).
cnf(c_171,plain,
$false,
inference(resolve,[status(thm)],[c_170,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN704-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n026.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Sat Sep 26 18:24:01 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/5.39 % Process 1668429 was started by sandbox2 on n026,
% 0.10/5.39 % Sat Sep 26 18:24:01 2026
% 0.10/5.39 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.10/5.39
% 0.10/5.39 % From the command line: assign(max_seconds, 300).
% 0.15/5.42
% 0.15/5.42 % SZS status Unsatisfiable for theBenchmark
% 0.15/5.42
% 0.15/5.42 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.15/5.42 % Length of proof is 15.
% 0.15/5.42 % Level of proof is 3.
% 0.15/5.42 % Maximum clause weight is 92.000.
% 0.15/5.42 % Given clauses 94.
% 0.15/5.42
% 0.15/5.42 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------