%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN597-1 : 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 : n007.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 09:38:55 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.38s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 18 unt; 0 def)
% Number of atoms : 64 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 41 ~; 31 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% Number of variables : 54 ( 0 sgn 22 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_1,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_1) ).
cnf(c_1,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_1]) ).
fof(p9_2,axiom,
! [VAR_0] : p9(VAR_0,VAR_0),
file('theBenchmark.p',p9_2) ).
cnf(c_2,plain,
p9(A,A),
inference(clausify,[status(thm)],[p9_2]) ).
fof(p3_3,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_3) ).
cnf(c_3,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_3]) ).
fof(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p3_7,axiom,
p3(c21,c22),
file('theBenchmark.p',p3_7) ).
cnf(c_7,plain,
p3(c21,c22),
inference(clausify,[status(thm)],[p3_7]) ).
fof(p18_21,axiom,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
file('theBenchmark.p',p18_21) ).
cnf(c_21,plain,
p18(c20,f11(f13(f15(c20),f14(f4(c20),c21)),c23,c24)),
inference(clausify,[status(thm)],[p18_21]) ).
fof(not_p18_22,axiom,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
file('theBenchmark.p',not_p18_22) ).
cnf(c_22,plain,
~ p18(c20,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24)),
inference(clausify,[status(thm)],[not_p18_22]) ).
fof(p18_24,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p10(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| ~ p18(VAR_2,VAR_3)
| p18(VAR_0,VAR_1) ),
file('theBenchmark.p',p18_24) ).
cnf(c_24,plain,
( ~ p10(D,B)
| ~ p2(C,A)
| ~ p18(C,D)
| p18(A,B) ),
inference(clausify,[status(thm)],[p18_24]) ).
fof(p2_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_0,VAR_2)
| ~ p12(VAR_1,VAR_3)
| p2(f13(VAR_0,VAR_1),f13(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_26) ).
cnf(c_26,plain,
( ~ p3(A,C)
| ~ p12(B,D)
| p2(f13(A,B),f13(C,D)) ),
inference(clausify,[status(thm)],[p2_26]) ).
fof(p12_27,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p3(VAR_0,VAR_2)
| p12(f14(VAR_0,VAR_1),f14(VAR_2,VAR_3)) ),
file('theBenchmark.p',p12_27) ).
cnf(c_27,plain,
( ~ p3(B,D)
| ~ p3(A,C)
| p12(f14(A,B),f14(C,D)) ),
inference(clausify,[status(thm)],[p12_27]) ).
fof(p10_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3,VAR_4,VAR_5] :
( ~ p10(VAR_2,VAR_5)
| ~ p9(VAR_1,VAR_4)
| ~ p2(VAR_0,VAR_3)
| p10(f11(VAR_0,VAR_1,VAR_2),f11(VAR_3,VAR_4,VAR_5)) ),
file('theBenchmark.p',p10_28) ).
cnf(c_28,plain,
( ~ p10(C,F)
| ~ p9(B,E)
| ~ p2(A,D)
| p10(f11(A,B,C),f11(D,E,F)) ),
inference(clausify,[status(thm)],[p10_28]) ).
cnf(c_37,plain,
( ~ p10(B,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p2(A,c20)
| ~ p18(A,B) ),
inference(resolve,[status(thm)],[c_24,c_22]) ).
cnf(c_117,plain,
( ~ p3(B,C)
| p12(f14(A,B),f14(A,C)) ),
inference(resolve,[status(thm)],[c_27,c_3]) ).
cnf(c_43,plain,
p12(f14(A,c21),f14(A,c22)),
inference(resolve,[status(thm)],[c_117,c_7]) ).
cnf(c_56,plain,
( ~ p10(A,f11(f13(f15(c20),f14(f4(c20),c22)),c23,c24))
| ~ p18(c20,A) ),
inference(resolve,[status(thm)],[c_37,c_4]) ).
cnf(c_63,plain,
( ~ p10(C,c24)
| ~ p9(B,c23)
| ~ p2(A,f13(f15(c20),f14(f4(c20),c22)))
| ~ p18(c20,f11(A,B,C)) ),
inference(resolve,[status(thm)],[c_56,c_28]) ).
cnf(c_118,plain,
( ~ p10(c24,c24)
| ~ p9(c23,c23)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
inference(resolve,[status(thm)],[c_63,c_21]) ).
cnf(c_119,plain,
( ~ p10(c24,c24)
| ~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))) ),
inference(resolve,[status(thm)],[c_2,c_118]) ).
cnf(c_68,plain,
~ p2(f13(f15(c20),f14(f4(c20),c21)),f13(f15(c20),f14(f4(c20),c22))),
inference(resolve,[status(thm)],[c_1,c_119]) ).
cnf(c_120,plain,
( ~ p3(f15(c20),f15(c20))
| ~ p12(f14(f4(c20),c21),f14(f4(c20),c22)) ),
inference(resolve,[status(thm)],[c_68,c_26]) ).
cnf(c_121,plain,
~ p3(f15(c20),f15(c20)),
inference(resolve,[status(thm)],[c_43,c_120]) ).
cnf(c_116,plain,
$false,
inference(resolve,[status(thm)],[c_3,c_121]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN597-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sat Sep 26 18:13:24 UTC 2026
% 0.08/0.36 % CPUTime :
% 0.08/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.36 % Process 186885 was started by sandbox on n007,
% 0.08/0.36 % Sat Sep 26 18:13:24 2026
% 0.08/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.08/0.36
% 0.08/0.36 % From the command line: assign(max_seconds, 300).
% 0.08/0.38
% 0.08/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.38
% 0.08/0.38 % Proof 1 at 0.00 (+ 0.01) seconds.
% 0.08/0.38 % Length of proof is 17.
% 0.08/0.38 % Level of proof is 5.
% 0.08/0.38 % Maximum clause weight is 43.000.
% 0.08/0.38 % Given clauses 44.
% 0.08/0.38
% 0.08/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------