%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN621-1 : 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 : n017.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 09:38:58 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.48s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 7 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 11 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 19 ( 19 usr; 6 con; 0-4 aty)
% Number of variables : 28 ( 4 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(not_p2_7,axiom,
~ p2(c23,f3(c24)),
file('theBenchmark.p',not_p2_7) ).
cnf(c_7,plain,
~ p2(c23,f3(c24)),
inference(clausify,[status(thm)],[not_p2_7]) ).
fof(p21_18,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p21(VAR_2,VAR_1)
| ~ p21(VAR_0,VAR_2)
| p21(VAR_0,VAR_1) ),
file('theBenchmark.p',p21_18) ).
cnf(c_18,plain,
( ~ p21(C,B)
| ~ p21(A,C)
| p21(A,B) ),
inference(clausify,[status(thm)],[p21_18]) ).
fof(p2_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p22(f20(VAR_1,VAR_0,VAR_2,VAR_3),f14(f11(VAR_1,f12(VAR_0,VAR_2))))
| p2(VAR_0,f3(c24)) ),
file('theBenchmark.p',p2_28) ).
cnf(c_28,plain,
( p22(f20(B,A,C,D),f14(f11(B,f12(A,C))))
| p2(A,f3(c24)) ),
inference(clausify,[status(thm)],[p2_28]) ).
fof(p21_31,axiom,
! [VAR_0] :
( ~ p22(VAR_0,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,VAR_0))) ),
file('theBenchmark.p',p21_31) ).
cnf(c_31,plain,
( ~ p22(A,f14(f11(c25,f12(c23,c26))))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,A))) ),
inference(clausify,[status(thm)],[p21_31]) ).
fof(not_p21_32,axiom,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
file('theBenchmark.p',not_p21_32) ).
cnf(c_32,plain,
~ p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))),
inference(clausify,[status(thm)],[not_p21_32]) ).
fof(p2_34,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( p21(f5(f6(VAR_1,f20(VAR_2,VAR_0,VAR_3,VAR_1))),f15(f19(f11(VAR_2,f12(VAR_0,VAR_3)),VAR_1),f16(f3(f17(f18(c24))))))
| p2(VAR_0,f3(c24)) ),
file('theBenchmark.p',p2_34) ).
cnf(c_34,plain,
( p21(f5(f6(B,f20(C,A,D,B))),f15(f19(f11(C,f12(A,D)),B),f16(f3(f17(f18(c24))))))
| p2(A,f3(c24)) ),
inference(clausify,[status(thm)],[p2_34]) ).
cnf(c_102,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,A)))) ),
inference(resolve,[status(thm)],[c_31,c_28]) ).
cnf(c_66,plain,
p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f5(f6(c27,f20(c25,c23,c26,A)))),
inference(resolve,[status(thm)],[c_7,c_102]) ).
cnf(c_86,plain,
( ~ p21(f5(f6(c27,f20(c25,c23,c26,B))),A)
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),A) ),
inference(resolve,[status(thm)],[c_66,c_18]) ).
cnf(c_103,plain,
( p2(c23,f3(c24))
| p21(f5(f6(c27,f9(f11(c25,f12(c23,c26)),c28,c27))),f15(f19(f11(c25,f12(c23,c26)),c27),f16(f3(f17(f18(c24)))))) ),
inference(resolve,[status(thm)],[c_86,c_34]) ).
cnf(c_104,plain,
p2(c23,f3(c24)),
inference(resolve,[status(thm)],[c_32,c_103]) ).
cnf(c_101,plain,
$false,
inference(resolve,[status(thm)],[c_7,c_104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN621-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.07 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 % Computer : n017.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Sat Sep 26 18:12:03 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.44 % Process 1349444 was started by sandbox2 on n017,
% 0.17/0.44 % Sat Sep 26 18:12:03 2026
% 0.17/0.44 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 0.17/0.48
% 0.17/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.48
% 0.17/0.48 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.17/0.48 % Length of proof is 9.
% 0.17/0.48 % Level of proof is 3.
% 0.17/0.48 % Maximum clause weight is 26.000.
% 0.17/0.48 % Given clauses 85.
% 0.17/0.48
% 0.17/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------