%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN711-1 : 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 : n026.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 09:39:10 AM UTC 2026
% Result : Unsatisfiable 0.14s 0.57s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 14 ( 9 unt; 0 def)
% Number of atoms : 21 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 11 ( 4 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p42_25,axiom,
p42(f16(c62),f16(f7(c46))),
file('theBenchmark.p',p42_25) ).
cnf(c_25,plain,
p42(f16(c62),f16(f7(c46))),
inference(clausify,[status(thm)],[p42_25]) ).
fof(p42_26,axiom,
! [VAR_0,VAR_1] :
( ~ p41(VAR_0,VAR_1)
| p42(VAR_0,VAR_1) ),
file('theBenchmark.p',p42_26) ).
cnf(c_26,plain,
( ~ p41(A,B)
| p42(A,B) ),
inference(clausify,[status(thm)],[p42_26]) ).
fof(p42_47,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p42(VAR_2,VAR_1)
| ~ p42(VAR_0,VAR_2)
| p42(VAR_0,VAR_1) ),
file('theBenchmark.p',p42_47) ).
cnf(c_47,plain,
( ~ p42(C,B)
| ~ p42(A,C)
| p42(A,B) ),
inference(clausify,[status(thm)],[p42_47]) ).
fof(not_p42_78,axiom,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('theBenchmark.p',not_p42_78) ).
cnf(c_78,plain,
~ p42(f16(c62),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(clausify,[status(thm)],[not_p42_78]) ).
fof(p41_80,axiom,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
file('theBenchmark.p',p41_80) ).
cnf(c_80,plain,
p41(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(clausify,[status(thm)],[p41_80]) ).
cnf(c_189,plain,
( ~ p42(A,f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49)))))))))))
| ~ p42(f16(c62),A) ),
inference(resolve,[status(thm)],[c_47,c_78]) ).
cnf(c_153,plain,
~ p42(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(resolve,[status(thm)],[c_189,c_25]) ).
cnf(c_187,plain,
p42(f16(f7(c46)),f13(f14(f10(f11(f15(f12(c49)))),f11(f15(f15(f15(f15(f12(f15(f12(c49))))))))))),
inference(resolve,[status(thm)],[c_26,c_80]) ).
cnf(c_188,plain,
$false,
inference(resolve,[status(thm)],[c_187,c_153]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN711-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.54 % Computer : n026.cluster.edu
% 0.08/0.54 % Model : x86_64 x86_64
% 0.08/0.54 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.54 % Memory : 8046.5625MB
% 0.08/0.54 % OS : Linux 6.8.0-71-generic
% 0.08/0.54 % CPULimit : 300
% 0.08/0.54 % WCLimit : 300
% 0.08/0.54 % DateTime : Sat Sep 26 18:24:11 UTC 2026
% 0.08/0.55 % CPUTime :
% 0.08/0.55 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.08/0.55 % Process 1668818 was started by sandbox2 on n026,
% 0.08/0.55 % Sat Sep 26 18:24:11 2026
% 0.08/0.55 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.08/0.55
% 0.08/0.55 % From the command line: assign(max_seconds, 300).
% 0.14/0.57
% 0.14/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.57
% 0.14/0.57 % Proof 1 at 0.01 (+ 0.01) seconds.
% 0.14/0.57 % Length of proof is 8.
% 0.14/0.57 % Level of proof is 2.
% 0.14/0.57 % Maximum clause weight is 90.000.
% 0.14/0.57 % Given clauses 80.
% 0.14/0.57
% 0.14/0.57 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------