%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN632-1 : 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 : n004.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 09:39:00 AM UTC 2026
% Result : Unsatisfiable 0.11s 10.58s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 14 unt; 0 def)
% Number of atoms : 67 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 70 ( 38 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 69 ( 3 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p3_6,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_6) ).
cnf(c_6,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_6]) ).
fof(p2_7,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_7) ).
cnf(c_7,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_7]) ).
fof(p3_17,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_2,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_17) ).
cnf(c_17,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_17]) ).
fof(p21_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p21(VAR_3,VAR_2)
| ~ p4(VAR_3,VAR_0)
| ~ p3(VAR_2,VAR_1)
| p21(VAR_0,VAR_1) ),
file('theBenchmark.p',p21_23) ).
cnf(c_23,plain,
( ~ p21(D,C)
| ~ p4(D,A)
| ~ p3(C,B)
| p21(A,B) ),
inference(clausify,[status(thm)],[p21_23]) ).
fof(p21_24,axiom,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
file('theBenchmark.p',p21_24) ).
cnf(c_24,plain,
p21(f5(f7(f10(c24,f12(c28,f12(c25,c26))),c22),c23),c27),
inference(clausify,[status(thm)],[p21_24]) ).
fof(p4_31,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p4(f5(VAR_0,VAR_1),f5(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_31) ).
cnf(c_31,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_31]) ).
fof(p3_33,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),VAR_2),VAR_0),VAR_1)
| p3(VAR_0,VAR_1) ),
file('theBenchmark.p',p3_33) ).
cnf(c_33,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),C),A),B)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_33]) ).
fof(p21_34,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p3(VAR_1,VAR_2)
| p21(f5(f7(f10(c24,f12(c25,c26)),VAR_0),VAR_1),VAR_2) ),
file('theBenchmark.p',p21_34) ).
cnf(c_34,plain,
( ~ p3(B,C)
| p21(f5(f7(f10(c24,f12(c25,c26)),A),B),C) ),
inference(clausify,[status(thm)],[p21_34]) ).
fof(not_p21_35,axiom,
! [VAR_0] :
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),VAR_0),c27)
| ~ p21(f5(c22,c23),VAR_0) ),
file('theBenchmark.p',not_p21_35) ).
cnf(c_35,plain,
( ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),A),c27)
| ~ p21(f5(c22,c23),A) ),
inference(clausify,[status(thm)],[not_p21_35]) ).
fof(p21_36,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p21(f5(f7(f10(c24,f12(c28,VAR_1)),VAR_0),VAR_2),VAR_3)
| p21(f5(VAR_0,f14(f16(f18(f20(c29,VAR_1),VAR_2),VAR_0),VAR_3)),VAR_3) ),
file('theBenchmark.p',p21_36) ).
cnf(c_36,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,B)),A),C),D)
| p21(f5(A,f14(f16(f18(f20(c29,B),C),A),D)),D) ),
inference(clausify,[status(thm)],[p21_36]) ).
fof(p21_38,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p21(f5(f7(f10(c24,f12(c28,VAR_0)),VAR_1),VAR_2),VAR_3)
| p21(f5(f7(f10(c24,VAR_0),VAR_1),VAR_2),f14(f16(f18(f20(c29,VAR_0),VAR_2),VAR_1),VAR_3)) ),
file('theBenchmark.p',p21_38) ).
cnf(c_38,plain,
( ~ p21(f5(f7(f10(c24,f12(c28,A)),B),C),D)
| p21(f5(f7(f10(c24,A),B),C),f14(f16(f18(f20(c29,A),C),B),D)) ),
inference(clausify,[status(thm)],[p21_38]) ).
cnf(c_39,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),A),B),B),
inference(resolve,[status(thm)],[c_34,c_6]) ).
cnf(c_40,plain,
( ~ p21(C,B)
| ~ p4(C,f5(c22,c23))
| ~ p3(B,A)
| ~ p21(f5(f7(f10(c24,f12(c25,c26)),c22),A),c27) ),
inference(resolve,[status(thm)],[c_35,c_23]) ).
cnf(c_44,plain,
p21(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),c27),
inference(resolve,[status(thm)],[c_36,c_24]) ).
cnf(c_45,plain,
p21(f5(f7(f10(c24,f12(c25,c26)),c22),c23),f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolve,[status(thm)],[c_38,c_24]) ).
cnf(c_49,plain,
( ~ p21(B,A)
| ~ p4(B,f5(c22,c23))
| ~ p3(A,c27) ),
inference(resolve,[status(thm)],[c_40,c_39]) ).
cnf(c_73,plain,
( ~ p21(A,c27)
| ~ p4(A,f5(c22,c23)) ),
inference(resolve,[status(thm)],[c_49,c_6]) ).
cnf(c_94,plain,
~ p4(f5(c22,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(c22,c23)),
inference(resolve,[status(thm)],[c_44,c_73]) ).
cnf(c_99,plain,
p3(c23,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),
inference(resolve,[status(thm)],[c_33,c_45]) ).
cnf(c_112,plain,
( ~ p3(c23,A)
| p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),A) ),
inference(resolve,[status(thm)],[c_17,c_99]) ).
cnf(c_106,plain,
p3(f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27),c23),
inference(resolve,[status(thm)],[c_112,c_6]) ).
cnf(c_113,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_31,c_7]) ).
cnf(c_110,plain,
p4(f5(A,f14(f16(f18(f20(c29,f12(c25,c26)),c23),c22),c27)),f5(A,c23)),
inference(resolve,[status(thm)],[c_113,c_106]) ).
cnf(c_111,plain,
$false,
inference(resolve,[status(thm)],[c_110,c_94]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN632-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/10.55 % Computer : n004.cluster.edu
% 0.11/10.55 % Model : x86_64 x86_64
% 0.11/10.55 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/10.55 % Memory : 8046.5625MB
% 0.11/10.55 % OS : Linux 6.8.0-71-generic
% 0.11/10.55 % CPULimit : 300
% 0.11/10.56 % WCLimit : 300
% 0.11/10.56 % DateTime : Sat Sep 26 18:17:47 UTC 2026
% 0.11/10.56 % CPUTime :
% 0.11/10.56 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.11/10.56 % Process 2333512 was started by sandbox on n004,
% 0.11/10.56 % Sat Sep 26 18:17:47 2026
% 0.11/10.56 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.11/10.57
% 0.11/10.57 % From the command line: assign(max_seconds, 300).
% 0.11/10.58
% 0.11/10.58 % SZS status Unsatisfiable for theBenchmark
% 0.11/10.58
% 0.11/10.58 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.11/10.58 % Length of proof is 22.
% 0.11/10.58 % Level of proof is 5.
% 0.11/10.58 % Maximum clause weight is 54.000.
% 0.11/10.58 % Given clauses 49.
% 0.11/10.58
% 0.11/10.58 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------