%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN623-1 : 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 : n013.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 0.19s 5.69s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 13
% Syntax : Number of formulae : 43 ( 23 unt; 0 def)
% Number of atoms : 88 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 101 ( 56 ~; 45 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 11 con; 0-2 aty)
% Number of variables : 45 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p8_2,axiom,
! [VAR_0] : p8(VAR_0,VAR_0),
file('theBenchmark.p',p8_2) ).
cnf(c_2,plain,
p8(A,A),
inference(clausify,[status(thm)],[p8_2]) ).
fof(p3_5,axiom,
! [VAR_0] : p3(VAR_0,VAR_0),
file('theBenchmark.p',p3_5) ).
cnf(c_5,plain,
p3(A,A),
inference(clausify,[status(thm)],[p3_5]) ).
fof(p18_10,axiom,
p18(c26,c25),
file('theBenchmark.p',p18_10) ).
cnf(c_10,plain,
p18(c26,c25),
inference(clausify,[status(thm)],[p18_10]) ).
fof(p3_11,axiom,
p3(c22,c23),
file('theBenchmark.p',p3_11) ).
cnf(c_11,plain,
p3(c22,c23),
inference(clausify,[status(thm)],[p3_11]) ).
fof(p2_12,axiom,
p2(c24,c25),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(c24,c25),
inference(clausify,[status(thm)],[p2_12]) ).
fof(not_p16_13,axiom,
~ p16(c22,c21),
file('theBenchmark.p',not_p16_13) ).
cnf(c_13,plain,
~ p16(c22,c21),
inference(clausify,[status(thm)],[not_p16_13]) ).
fof(p3_14,axiom,
p3(c23,f4(c24,c20)),
file('theBenchmark.p',p3_14) ).
cnf(c_14,plain,
p3(c23,f4(c24,c20)),
inference(clausify,[status(thm)],[p3_14]) ).
fof(p16_15,axiom,
p16(f4(c19,c20),c21),
file('theBenchmark.p',p16_15) ).
cnf(c_15,plain,
p16(f4(c19,c20),c21),
inference(clausify,[status(thm)],[p16_15]) ).
fof(p3_20,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_20) ).
cnf(c_20,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_20]) ).
fof(p16_25,axiom,
! [VAR_0,VAR_1] :
( ~ p16(f4(f6(c27,c25),VAR_0),VAR_1)
| p16(f4(c25,VAR_0),VAR_1) ),
file('theBenchmark.p',p16_25) ).
cnf(c_25,plain,
( ~ p16(f4(f6(c27,c25),A),B)
| p16(f4(c25,A),B) ),
inference(clausify,[status(thm)],[p16_25]) ).
fof(p16_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p16(VAR_2,VAR_3)
| ~ p8(VAR_3,VAR_1)
| ~ p3(VAR_2,VAR_0)
| p16(VAR_0,VAR_1) ),
file('theBenchmark.p',p16_26) ).
cnf(c_26,plain,
( ~ p16(C,D)
| ~ p8(D,B)
| ~ p3(C,A)
| p16(A,B) ),
inference(clausify,[status(thm)],[p16_26]) ).
fof(p16_34,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p16(f4(VAR_3,f13(f15(c28,VAR_0),VAR_3)),f9(f11(c29,VAR_0),VAR_3))
| ~ p16(f4(c19,VAR_1),VAR_2)
| ~ p18(c26,VAR_3)
| ~ p2(VAR_0,VAR_3)
| p16(f4(VAR_0,VAR_1),VAR_2) ),
file('theBenchmark.p',p16_34) ).
cnf(c_34,plain,
( ~ p16(f4(D,f13(f15(c28,A),D)),f9(f11(c29,A),D))
| ~ p16(f4(c19,B),C)
| ~ p18(c26,D)
| ~ p2(A,D)
| p16(f4(A,B),C) ),
inference(clausify,[status(thm)],[p16_34]) ).
fof(p16_35,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p16(f4(c19,VAR_1),VAR_2)
| ~ p18(c26,VAR_3)
| ~ p2(VAR_0,VAR_3)
| p16(f4(f6(c27,VAR_3),f13(f15(c28,VAR_0),VAR_3)),f9(f11(c29,VAR_0),VAR_3))
| p16(f4(VAR_0,VAR_1),VAR_2) ),
file('theBenchmark.p',p16_35) ).
cnf(c_35,plain,
( ~ p16(f4(c19,B),C)
| ~ p18(c26,D)
| ~ p2(A,D)
| p16(f4(f6(c27,D),f13(f15(c28,A),D)),f9(f11(c29,A),D))
| p16(f4(A,B),C) ),
inference(clausify,[status(thm)],[p16_35]) ).
cnf(c_42,plain,
( ~ p3(c23,A)
| p3(f4(c24,c20),A) ),
inference(resolve,[status(thm)],[c_20,c_14]) ).
cnf(c_43,plain,
( ~ p3(c22,A)
| p3(c23,A) ),
inference(resolve,[status(thm)],[c_20,c_11]) ).
cnf(c_68,plain,
p3(c23,c22),
inference(resolve,[status(thm)],[c_43,c_5]) ).
cnf(c_70,plain,
p3(f4(c24,c20),c22),
inference(resolve,[status(thm)],[c_68,c_42]) ).
cnf(c_106,plain,
( ~ p16(A,B)
| ~ p8(B,c21)
| ~ p3(A,c22) ),
inference(resolve,[status(thm)],[c_26,c_13]) ).
cnf(c_107,plain,
( ~ p16(f4(c24,c20),A)
| ~ p8(A,c21) ),
inference(resolve,[status(thm)],[c_106,c_70]) ).
cnf(c_82,plain,
~ p16(f4(c24,c20),c21),
inference(resolve,[status(thm)],[c_107,c_2]) ).
cnf(c_108,plain,
( ~ p16(f4(A,f13(f15(c28,c24),A)),f9(f11(c29,c24),A))
| ~ p16(f4(c19,c20),c21)
| ~ p18(c26,A)
| ~ p2(c24,A) ),
inference(resolve,[status(thm)],[c_34,c_82]) ).
cnf(c_109,plain,
( ~ p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))
| ~ p16(f4(c19,c20),c21)
| ~ p18(c26,c25) ),
inference(resolve,[status(thm)],[c_108,c_12]) ).
cnf(c_110,plain,
( ~ p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25))
| ~ p16(f4(c19,c20),c21) ),
inference(resolve,[status(thm)],[c_109,c_10]) ).
cnf(c_86,plain,
~ p16(f4(c25,f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
inference(resolve,[status(thm)],[c_110,c_15]) ).
cnf(c_104,plain,
~ p16(f4(f6(c27,c25),f13(f15(c28,c24),c25)),f9(f11(c29,c24),c25)),
inference(resolve,[status(thm)],[c_25,c_86]) ).
cnf(c_111,plain,
( ~ p16(f4(c19,c20),c21)
| ~ p18(c26,A)
| ~ p2(c24,A)
| p16(f4(f6(c27,A),f13(f15(c28,c24),A)),f9(f11(c29,c24),A)) ),
inference(resolve,[status(thm)],[c_35,c_82]) ).
cnf(c_112,plain,
( ~ p16(f4(c19,c20),c21)
| ~ p18(c26,c25)
| ~ p2(c24,c25) ),
inference(resolve,[status(thm)],[c_111,c_104]) ).
cnf(c_113,plain,
( ~ p16(f4(c19,c20),c21)
| ~ p2(c24,c25) ),
inference(resolve,[status(thm)],[c_112,c_10]) ).
cnf(c_114,plain,
~ p2(c24,c25),
inference(resolve,[status(thm)],[c_113,c_15]) ).
cnf(c_105,plain,
$false,
inference(resolve,[status(thm)],[c_12,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN623-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/5.66 % Computer : n013.cluster.edu
% 0.19/5.66 % Model : x86_64 x86_64
% 0.19/5.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/5.66 % Memory : 8046.5625MB
% 0.19/5.66 % OS : Linux 6.8.0-71-generic
% 0.19/5.66 % CPULimit : 300
% 0.19/5.66 % WCLimit : 300
% 0.19/5.66 % DateTime : Sat Sep 26 18:16:43 UTC 2026
% 0.19/5.66 % CPUTime :
% 0.19/5.67 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.19/5.67 % Process 3347195 was started by sandbox2 on n013,
% 0.19/5.67 % Sat Sep 26 18:16:43 2026
% 0.19/5.67 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.19/5.67
% 0.19/5.67 % From the command line: assign(max_seconds, 300).
% 0.19/5.69
% 0.19/5.69 % SZS status Unsatisfiable for theBenchmark
% 0.19/5.69
% 0.19/5.69 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.19/5.69 % Length of proof is 21.
% 0.19/5.69 % Level of proof is 7.
% 0.19/5.69 % Maximum clause weight is 31.000.
% 0.19/5.69 % Given clauses 72.
% 0.19/5.69
% 0.19/5.69 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------