%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN692-1 : 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 : n011.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 09:39:08 AM UTC 2026
% Result : Unsatisfiable 0.95s 0.71s
% Output : CNFRefutation 0.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of formulae : 24 ( 15 unt; 0 def)
% Number of atoms : 37 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 30 ( 17 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 29 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p10_7,axiom,
! [VAR_0] : p10(VAR_0,VAR_0),
file('theBenchmark.p',p10_7) ).
cnf(c_7,plain,
p10(A,A),
inference(clausify,[status(thm)],[p10_7]) ).
fof(p2_12,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_12) ).
cnf(c_12,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p2_16,axiom,
p2(c44,c45),
file('theBenchmark.p',p2_16) ).
cnf(c_16,plain,
p2(c44,c45),
inference(clausify,[status(thm)],[p2_16]) ).
fof(p3_33,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p3(f4(VAR_0),f4(VAR_1)) ),
file('theBenchmark.p',p3_33) ).
cnf(c_33,plain,
( ~ p2(A,B)
| p3(f4(A),f4(B)) ),
inference(clausify,[status(thm)],[p3_33]) ).
fof(p2_39,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p2(VAR_2,VAR_1)
| ~ p2(VAR_2,VAR_0)
| p2(VAR_0,VAR_1) ),
file('theBenchmark.p',p2_39) ).
cnf(c_39,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_39]) ).
fof(p2_51,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('theBenchmark.p',p2_51) ).
cnf(c_51,plain,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
inference(clausify,[status(thm)],[p2_51]) ).
fof(not_p2_52,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('theBenchmark.p',not_p2_52) ).
cnf(c_52,plain,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(clausify,[status(thm)],[not_p2_52]) ).
fof(p2_57,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_0,VAR_2)
| ~ p10(VAR_1,VAR_3)
| p2(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_57) ).
cnf(c_57,plain,
( ~ p3(A,C)
| ~ p10(B,D)
| p2(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p2_57]) ).
cnf(c_84,plain,
p3(f4(c44),f4(c45)),
inference(resolve,[status(thm)],[c_33,c_16]) ).
cnf(c_94,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_39,c_12]) ).
cnf(c_144,plain,
( ~ p3(A,C)
| p2(f11(A,B),f11(C,B)) ),
inference(resolve,[status(thm)],[c_57,c_7]) ).
cnf(c_205,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(resolve,[status(thm)],[c_94,c_51]) ).
cnf(c_1314,plain,
p2(f11(f4(c44),A),f11(f4(c45),A)),
inference(resolve,[status(thm)],[c_144,c_84]) ).
cnf(c_1517,plain,
( ~ p2(A,f11(f4(f23(c44,f9(f20(c37)))),c43))
| ~ p2(A,f11(f4(c45),c43)) ),
inference(resolve,[status(thm)],[c_39,c_52]) ).
cnf(c_1518,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(resolve,[status(thm)],[c_1517,c_205]) ).
cnf(c_1516,plain,
$false,
inference(resolve,[status(thm)],[c_1314,c_1518]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN692-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.14/0.42 % Computer : n011.cluster.edu
% 0.14/0.42 % Model : x86_64 x86_64
% 0.14/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.42 % Memory : 8046.5625MB
% 0.14/0.42 % OS : Linux 6.8.0-71-generic
% 0.14/0.42 % CPULimit : 300
% 0.14/0.42 % WCLimit : 300
% 0.14/0.42 % DateTime : Sat Sep 26 18:20:29 UTC 2026
% 0.14/0.43 % CPUTime :
% 0.14/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.14/0.43 % Process 1249627 was started by sandbox on n011,
% 0.14/0.43 % Sat Sep 26 18:20:29 2026
% 0.14/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.14/0.44
% 0.14/0.44 % From the command line: assign(max_seconds, 300).
% 0.95/0.71
% 0.95/0.71 % SZS status Unsatisfiable for theBenchmark
% 0.95/0.71
% 0.95/0.71 % Proof 1 at 0.19 (+ 0.07) seconds.
% 0.95/0.71 % Length of proof is 14.
% 0.95/0.71 % Level of proof is 3.
% 0.95/0.71 % Maximum clause weight is 25.000.
% 0.95/0.71 % Given clauses 355.
% 0.95/0.71
% 0.95/0.71 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------