%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN717-1 : 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 : n012.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 0.04s 5.34s
% Output : CNFRefutation 0.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 14 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 23 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 37 ( 2 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p22_28,axiom,
! [VAR_0] : p22(VAR_0,VAR_0),
file('theBenchmark.p',p22_28) ).
cnf(c_28,plain,
p22(A,A),
inference(clausify,[status(thm)],[p22_28]) ).
fof(p20_29,axiom,
! [VAR_0] : p20(VAR_0,VAR_0),
file('theBenchmark.p',p20_29) ).
cnf(c_29,plain,
p20(A,A),
inference(clausify,[status(thm)],[p20_29]) ).
fof(p23_36,axiom,
p23(c79,c77),
file('theBenchmark.p',p23_36) ).
cnf(c_36,plain,
p23(c79,c77),
inference(clausify,[status(thm)],[p23_36]) ).
fof(p60_42,axiom,
p60(f25(c75,c79),f21(c76,c78)),
file('theBenchmark.p',p60_42) ).
cnf(c_42,plain,
p60(f25(c75,c79),f21(c76,c78)),
inference(clausify,[status(thm)],[p60_42]) ).
fof(p59_44,axiom,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
file('theBenchmark.p',p59_44) ).
cnf(c_44,plain,
p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(clausify,[status(thm)],[p59_44]) ).
fof(p60_84,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p20(VAR_3,VAR_1)
| ~ p60(VAR_2,VAR_3)
| ~ p24(VAR_2,VAR_0)
| p60(VAR_0,VAR_1) ),
file('theBenchmark.p',p60_84) ).
cnf(c_84,plain,
( ~ p20(D,B)
| ~ p60(C,D)
| ~ p24(C,A)
| p60(A,B) ),
inference(clausify,[status(thm)],[p60_84]) ).
fof(p24_94,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p23(VAR_1,VAR_3)
| ~ p22(VAR_0,VAR_2)
| p24(f25(VAR_0,VAR_1),f25(VAR_2,VAR_3)) ),
file('theBenchmark.p',p24_94) ).
cnf(c_94,plain,
( ~ p23(B,D)
| ~ p22(A,C)
| p24(f25(A,B),f25(C,D)) ),
inference(clausify,[status(thm)],[p24_94]) ).
fof(not_p60_107,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p59(f29(c73,f31(f33(c74,VAR_0),VAR_3)),c72)
| ~ p59(f29(c73,f31(f33(c74,VAR_2),VAR_1)),c72)
| ~ p60(f25(c75,VAR_0),f21(c76,VAR_1)) ),
file('theBenchmark.p',not_p60_107) ).
cnf(c_107,plain,
( ~ p59(f29(c73,f31(f33(c74,A),D)),c72)
| ~ p59(f29(c73,f31(f33(c74,C),B)),c72)
| ~ p60(f25(c75,A),f21(c76,B)) ),
inference(clausify,[status(thm)],[not_p60_107]) ).
cnf(c_114,plain,
( ~ p59(f29(c73,f31(f33(c74,A),B)),c72)
| ~ p60(f25(c75,A),f21(c76,B)) ),
inference(factor,[status(thm)],[c_107]) ).
cnf(c_157,plain,
( ~ p20(f21(c76,c78),B)
| ~ p24(f25(c75,c79),A)
| p60(A,B) ),
inference(resolve,[status(thm)],[c_84,c_42]) ).
cnf(c_167,plain,
( ~ p23(B,C)
| p24(f25(A,B),f25(A,C)) ),
inference(resolve,[status(thm)],[c_94,c_28]) ).
cnf(c_212,plain,
p24(f25(A,c79),f25(A,c77)),
inference(resolve,[status(thm)],[c_167,c_36]) ).
cnf(c_217,plain,
( ~ p20(f21(c76,c78),A)
| p60(f25(c75,c77),A) ),
inference(resolve,[status(thm)],[c_212,c_157]) ).
cnf(c_241,plain,
p60(f25(c75,c77),f21(c76,c78)),
inference(resolve,[status(thm)],[c_217,c_29]) ).
cnf(c_243,plain,
~ p59(f29(c73,f31(f33(c74,c77),c78)),c72),
inference(resolve,[status(thm)],[c_241,c_114]) ).
cnf(c_242,plain,
$false,
inference(resolve,[status(thm)],[c_44,c_243]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SYN717-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.02 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.04/5.31 % Computer : n012.cluster.edu
% 0.04/5.31 % Model : x86_64 x86_64
% 0.04/5.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/5.31 % Memory : 8046.5625MB
% 0.04/5.31 % OS : Linux 6.8.0-71-generic
% 0.04/5.31 % CPULimit : 300
% 0.04/5.31 % WCLimit : 300
% 0.04/5.31 % DateTime : Sat Sep 26 18:21:11 UTC 2026
% 0.04/5.31 % CPUTime :
% 0.04/5.31 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.04/5.31 % Process 1236682 was started by sandbox2 on n012,
% 0.04/5.31 % Sat Sep 26 18:21:11 2026
% 0.04/5.31 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.04/5.31
% 0.04/5.31 % From the command line: assign(max_seconds, 300).
% 0.04/5.34
% 0.04/5.34 % SZS status Unsatisfiable for theBenchmark
% 0.04/5.34
% 0.04/5.34 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.04/5.34 % Length of proof is 15.
% 0.04/5.34 % Level of proof is 5.
% 0.04/5.34 % Maximum clause weight is 25.000.
% 0.04/5.34 % Given clauses 210.
% 0.04/5.34
% 0.04/5.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------