%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN601-1 : 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 : n001.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 09:38:56 AM UTC 2026
% Result : Unsatisfiable 0.02s 0.38s
% Output : CNFRefutation 0.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 33 ( 19 unt; 0 def)
% Number of atoms : 61 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 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 : 50 ( 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(c22,c23),
file('theBenchmark.p',p3_7) ).
cnf(c_7,plain,
p3(c22,c23),
inference(clausify,[status(thm)],[p3_7]) ).
fof(p19_22,axiom,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
file('theBenchmark.p',p19_22) ).
cnf(c_22,plain,
p19(c21,f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25)),
inference(clausify,[status(thm)],[p19_22]) ).
fof(not_p19_23,axiom,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
file('theBenchmark.p',not_p19_23) ).
cnf(c_23,plain,
~ p19(c21,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(clausify,[status(thm)],[not_p19_23]) ).
fof(p19_24,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p10(VAR_3,VAR_1)
| ~ p2(VAR_2,VAR_0)
| ~ p19(VAR_2,VAR_3)
| p19(VAR_0,VAR_1) ),
file('theBenchmark.p',p19_24) ).
cnf(c_24,plain,
( ~ p10(D,B)
| ~ p2(C,A)
| ~ p19(C,D)
| p19(A,B) ),
inference(clausify,[status(thm)],[p19_24]) ).
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(p2_28,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_28) ).
cnf(c_28,plain,
( ~ p3(A,C)
| ~ p12(B,D)
| p2(f13(A,B),f13(C,D)) ),
inference(clausify,[status(thm)],[p2_28]) ).
fof(p10_30,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_30) ).
cnf(c_30,plain,
( ~ p10(C,F)
| ~ p9(B,E)
| ~ p2(A,D)
| p10(f11(A,B,C),f11(D,E,F)) ),
inference(clausify,[status(thm)],[p10_30]) ).
cnf(c_141,plain,
( ~ p10(B,f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25))
| ~ p2(A,c21)
| ~ p19(A,B) ),
inference(resolve,[status(thm)],[c_24,c_23]) ).
cnf(c_142,plain,
( ~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25))
| ~ p2(c21,c21) ),
inference(resolve,[status(thm)],[c_141,c_22]) ).
cnf(c_37,plain,
~ p10(f11(f13(f15(c21),f14(f4(c21),c22)),c24,c25),f11(f13(f15(c21),f14(f4(c21),c23)),c24,c25)),
inference(resolve,[status(thm)],[c_142,c_4]) ).
cnf(c_143,plain,
( ~ p3(B,C)
| p12(f14(A,B),f14(A,C)) ),
inference(resolve,[status(thm)],[c_27,c_3]) ).
cnf(c_42,plain,
p12(f14(A,c22),f14(A,c23)),
inference(resolve,[status(thm)],[c_143,c_7]) ).
cnf(c_144,plain,
( ~ p10(c25,c25)
| ~ p9(c24,c24)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))) ),
inference(resolve,[status(thm)],[c_30,c_37]) ).
cnf(c_145,plain,
( ~ p10(c25,c25)
| ~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))) ),
inference(resolve,[status(thm)],[c_144,c_2]) ).
cnf(c_134,plain,
~ p2(f13(f15(c21),f14(f4(c21),c22)),f13(f15(c21),f14(f4(c21),c23))),
inference(resolve,[status(thm)],[c_145,c_1]) ).
cnf(c_146,plain,
( ~ p3(f15(c21),f15(c21))
| ~ p12(f14(f4(c21),c22),f14(f4(c21),c23)) ),
inference(resolve,[status(thm)],[c_28,c_134]) ).
cnf(c_139,plain,
~ p12(f14(f4(c21),c22),f14(f4(c21),c23)),
inference(resolve,[status(thm)],[c_146,c_3]) ).
cnf(c_140,plain,
$false,
inference(resolve,[status(thm)],[c_139,c_42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN601-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n001.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Sat Sep 26 18:21:43 UTC 2026
% 0.02/0.36 % CPUTime :
% 0.02/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.02/0.36 % Process 2409925 was started by sandbox on n001,
% 0.02/0.36 % Sat Sep 26 18:21:43 2026
% 0.02/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.02/0.37
% 0.02/0.37 % From the command line: assign(max_seconds, 300).
% 0.02/0.38
% 0.02/0.38 % SZS status Unsatisfiable for theBenchmark
% 0.02/0.38
% 0.02/0.38 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.02/0.38 % Length of proof is 16.
% 0.02/0.38 % Level of proof is 4.
% 0.02/0.38 % Maximum clause weight is 21.000.
% 0.02/0.38 % Given clauses 51.
% 0.02/0.38
% 0.02/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------