%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN719-1 : 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 : n008.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 0.12s 0.80s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 47 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 48 ( 27 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 30 ( 30 usr; 15 con; 0-2 aty)
% Number of variables : 35 ( 4 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p14_38,axiom,
! [VAR_0] : p14(VAR_0,VAR_0),
file('theBenchmark.p',p14_38) ).
cnf(c_38,plain,
p14(A,A),
inference(clausify,[status(thm)],[p14_38]) ).
fof(p66_41,axiom,
p66(f12(c78,c77),c79),
file('theBenchmark.p',p66_41) ).
cnf(c_41,plain,
p66(f12(c78,c77),c79),
inference(clausify,[status(thm)],[p66_41]) ).
fof(p67_42,axiom,
p67(f16(c80,c81),c82),
file('theBenchmark.p',p67_42) ).
cnf(c_42,plain,
p67(f16(c80,c81),c82),
inference(clausify,[status(thm)],[p67_42]) ).
fof(p70_43,axiom,
! [VAR_0,VAR_1] : p70(f30(c88,VAR_0),f38(c85,VAR_1)),
file('theBenchmark.p',p70_43) ).
cnf(c_43,plain,
p70(f30(c88,A),f38(c85,B)),
inference(clausify,[status(thm)],[p70_43]) ).
fof(p14_45,axiom,
! [VAR_0] : p14(f23(f26(c84,c85),VAR_0),VAR_0),
file('theBenchmark.p',p14_45) ).
cnf(c_45,plain,
p14(f23(f26(c84,c85),A),A),
inference(clausify,[status(thm)],[p14_45]) ).
fof(not_p68_46,axiom,
~ p68(f19(f21(c83,c77),c79),c81),
file('theBenchmark.p',not_p68_46) ).
cnf(c_46,plain,
~ p68(f19(f21(c83,c77),c79),c81),
inference(clausify,[status(thm)],[not_p68_46]) ).
fof(p69_52,axiom,
! [VAR_0,VAR_1] :
( ~ p70(VAR_1,VAR_0)
| p69(f36(c86,VAR_0),VAR_1) ),
file('theBenchmark.p',p69_52) ).
cnf(c_52,plain,
( ~ p70(B,A)
| p69(f36(c86,A),B) ),
inference(clausify,[status(thm)],[p69_52]) ).
fof(p14_90,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p14(VAR_2,VAR_1)
| ~ p14(VAR_2,VAR_0)
| p14(VAR_0,VAR_1) ),
file('theBenchmark.p',p14_90) ).
cnf(c_90,plain,
( ~ p14(C,B)
| ~ p14(C,A)
| p14(A,B) ),
inference(clausify,[status(thm)],[p14_90]) ).
fof(p68_126,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p69(f36(c86,f38(VAR_3,f40(f42(f44(f46(c87,VAR_0),VAR_1),VAR_3),VAR_2))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(VAR_1,f23(f26(c84,VAR_3),VAR_2))
| ~ p66(f12(c78,c77),VAR_0)
| ~ p67(f16(c80,VAR_2),c82)
| p68(f19(f21(c83,c77),VAR_0),VAR_1) ),
file('theBenchmark.p',p68_126) ).
cnf(c_126,plain,
( ~ p69(f36(c86,f38(D,f40(f42(f44(f46(c87,A),B),D),C))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(B,f23(f26(c84,D),C))
| ~ p66(f12(c78,c77),A)
| ~ p67(f16(c80,C),c82)
| p68(f19(f21(c83,c77),A),B) ),
inference(clausify,[status(thm)],[p68_126]) ).
cnf(c_129,plain,
p69(f36(c86,f38(c85,A)),f30(c88,B)),
inference(resolve,[status(thm)],[c_52,c_43]) ).
cnf(c_159,plain,
( ~ p14(f23(f26(c84,c85),A),B)
| p14(A,B) ),
inference(resolve,[status(thm)],[c_90,c_45]) ).
cnf(c_130,plain,
p14(A,f23(f26(c84,c85),A)),
inference(resolve,[status(thm)],[c_159,c_38]) ).
cnf(c_160,plain,
( ~ p69(f36(c86,f38(B,f40(f42(f44(f46(c87,c79),c81),B),A))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(c81,f23(f26(c84,B),A))
| ~ p66(f12(c78,c77),c79)
| ~ p67(f16(c80,A),c82) ),
inference(resolve,[status(thm)],[c_126,c_46]) ).
cnf(c_161,plain,
( ~ p69(f36(c86,f38(A,f40(f42(f44(f46(c87,c79),c81),A),c81))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(c81,f23(f26(c84,A),c81))
| ~ p66(f12(c78,c77),c79) ),
inference(resolve,[status(thm)],[c_160,c_42]) ).
cnf(c_162,plain,
( ~ p69(f36(c86,f38(A,f40(f42(f44(f46(c87,c79),c81),A),c81))),f30(c88,f32(c89,f8(c75,c76))))
| ~ p14(c81,f23(f26(c84,A),c81)) ),
inference(resolve,[status(thm)],[c_161,c_41]) ).
cnf(c_163,plain,
~ p69(f36(c86,f38(c85,f40(f42(f44(f46(c87,c79),c81),c85),c81))),f30(c88,f32(c89,f8(c75,c76)))),
inference(resolve,[status(thm)],[c_162,c_130]) ).
cnf(c_158,plain,
$false,
inference(resolve,[status(thm)],[c_129,c_163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN719-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.77 % Computer : n008.cluster.edu
% 0.08/0.77 % Model : x86_64 x86_64
% 0.08/0.77 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.77 % Memory : 8046.5625MB
% 0.08/0.77 % OS : Linux 6.8.0-71-generic
% 0.08/0.77 % CPULimit : 300
% 0.08/0.77 % WCLimit : 300
% 0.08/0.77 % DateTime : Sat Sep 26 18:22:26 UTC 2026
% 0.08/0.78 % CPUTime :
% 0.08/0.78 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.78 % Process 77915 was started by sandbox on n008,
% 0.08/0.78 % Sat Sep 26 18:22:26 2026
% 0.08/0.78 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.78
% 0.08/0.78 % From the command line: assign(max_seconds, 300).
% 0.12/0.80
% 0.12/0.80 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.80
% 0.12/0.80 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.12/0.80 % Length of proof is 12.
% 0.12/0.80 % Level of proof is 2.
% 0.12/0.80 % Maximum clause weight is 80.000.
% 0.12/0.80 % Given clauses 133.
% 0.12/0.80
% 0.12/0.80 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------