%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN572-1 : 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 : n012.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 09:38:51 AM UTC 2026
% Result : Unsatisfiable 0.13s 0.43s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 13
% Syntax : Number of formulae : 41 ( 24 unt; 0 def)
% Number of atoms : 69 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 66 ( 38 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 72 ( 0 sgn 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_1,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_1) ).
cnf(c_1,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_1]) ).
fof(p4_3,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_3) ).
cnf(c_3,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_3]) ).
fof(p4_4,axiom,
! [VAR_0] : p4(f10(f9(VAR_0)),f10(VAR_0)),
file('theBenchmark.p',p4_4) ).
cnf(c_4,plain,
p4(f10(f9(A)),f10(A)),
inference(clausify,[status(thm)],[p4_4]) ).
fof(p2_5,axiom,
! [VAR_0] : p2(f3(VAR_0,f5(f7(f8(c13)))),VAR_0),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(f3(A,f5(f7(f8(c13)))),A),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p4_9,axiom,
! [VAR_0,VAR_1] :
( ~ p2(VAR_0,VAR_1)
| p4(f10(VAR_0),f10(VAR_1)) ),
file('theBenchmark.p',p4_9) ).
cnf(c_9,plain,
( ~ p2(A,B)
| p4(f10(A),f10(B)) ),
inference(clausify,[status(thm)],[p4_9]) ).
fof(p2_11,axiom,
! [VAR_0] : p2(f3(VAR_0,f9(VAR_0)),f5(f7(f8(c13)))),
file('theBenchmark.p',p2_11) ).
cnf(c_11,plain,
p2(f3(A,f9(A)),f5(f7(f8(c13)))),
inference(clausify,[status(thm)],[p2_11]) ).
fof(p2_12,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_12) ).
cnf(c_12,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_12]) ).
fof(p12_15,axiom,
! [VAR_0,VAR_1] : p12(f10(f3(VAR_0,VAR_1)),f11(f10(VAR_0),f10(VAR_1))),
file('theBenchmark.p',p12_15) ).
cnf(c_15,plain,
p12(f10(f3(A,B)),f11(f10(A),f10(B))),
inference(clausify,[status(thm)],[p12_15]) ).
fof(not_p12_16,axiom,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
file('theBenchmark.p',not_p12_16) ).
cnf(c_16,plain,
~ p12(f10(c14),f11(f10(f3(c14,c15)),f10(c15))),
inference(clausify,[status(thm)],[not_p12_16]) ).
fof(p2_17,axiom,
! [VAR_0,VAR_1,VAR_2] : p2(f3(VAR_0,f3(VAR_1,VAR_2)),f3(f3(VAR_0,VAR_1),VAR_2)),
file('theBenchmark.p',p2_17) ).
cnf(c_17,plain,
p2(f3(A,f3(B,C)),f3(f3(A,B),C)),
inference(clausify,[status(thm)],[p2_17]) ).
fof(p12_18,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p12(VAR_2,VAR_3)
| ~ p4(VAR_3,VAR_1)
| ~ p4(VAR_2,VAR_0)
| p12(VAR_0,VAR_1) ),
file('theBenchmark.p',p12_18) ).
cnf(c_18,plain,
( ~ p12(C,D)
| ~ p4(D,B)
| ~ p4(C,A)
| p12(A,B) ),
inference(clausify,[status(thm)],[p12_18]) ).
fof(p4_19,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p4(VAR_1,VAR_3)
| ~ p4(VAR_0,VAR_2)
| p4(f11(VAR_0,VAR_1),f11(VAR_2,VAR_3)) ),
file('theBenchmark.p',p4_19) ).
cnf(c_19,plain,
( ~ p4(B,D)
| ~ p4(A,C)
| p4(f11(A,B),f11(C,D)) ),
inference(clausify,[status(thm)],[p4_19]) ).
fof(p2_20,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f3(VAR_0,VAR_1),f3(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_20) ).
cnf(c_20,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f3(A,B),f3(C,D)) ),
inference(clausify,[status(thm)],[p2_20]) ).
cnf(c_1074,plain,
( ~ p2(f3(B,f9(B)),A)
| p2(f5(f7(f8(c13))),A) ),
inference(resolve,[status(thm)],[c_12,c_11]) ).
cnf(c_26,plain,
p2(f5(f7(f8(c13))),f3(A,f9(A))),
inference(resolve,[status(thm)],[c_1074,c_1]) ).
cnf(c_1075,plain,
( ~ p4(B,C)
| p4(f11(A,B),f11(A,C)) ),
inference(resolve,[status(thm)],[c_19,c_3]) ).
cnf(c_37,plain,
p4(f11(A,f10(f9(B))),f11(A,f10(B))),
inference(resolve,[status(thm)],[c_1075,c_4]) ).
cnf(c_1076,plain,
( ~ p2(B,C)
| p2(f3(A,B),f3(A,C)) ),
inference(resolve,[status(thm)],[c_20,c_1]) ).
cnf(c_225,plain,
p2(f3(A,f5(f7(f8(c13)))),f3(A,f3(B,f9(B)))),
inference(resolve,[status(thm)],[c_1076,c_26]) ).
cnf(c_1077,plain,
( ~ p12(A,B)
| ~ p4(B,f11(f10(f3(c14,c15)),f10(c15)))
| ~ p4(A,f10(c14)) ),
inference(resolve,[status(thm)],[c_18,c_16]) ).
cnf(c_1078,plain,
( ~ p12(A,f11(f10(f3(c14,c15)),f10(f9(c15))))
| ~ p4(A,f10(c14)) ),
inference(resolve,[status(thm)],[c_1077,c_37]) ).
cnf(c_519,plain,
~ p4(f10(f3(f3(c14,c15),f9(c15))),f10(c14)),
inference(resolve,[status(thm)],[c_1078,c_15]) ).
cnf(c_814,plain,
~ p2(f3(f3(c14,c15),f9(c15)),c14),
inference(resolve,[status(thm)],[c_519,c_9]) ).
cnf(c_1079,plain,
( ~ p2(A,c14)
| ~ p2(A,f3(f3(c14,c15),f9(c15))) ),
inference(resolve,[status(thm)],[c_12,c_814]) ).
cnf(c_829,plain,
~ p2(f3(c14,f3(c15,f9(c15))),c14),
inference(resolve,[status(thm)],[c_1079,c_17]) ).
cnf(c_1080,plain,
( ~ p2(A,c14)
| ~ p2(A,f3(c14,f3(c15,f9(c15)))) ),
inference(resolve,[status(thm)],[c_12,c_829]) ).
cnf(c_1072,plain,
~ p2(f3(c14,f5(f7(f8(c13)))),f3(c14,f3(c15,f9(c15)))),
inference(resolve,[status(thm)],[c_1080,c_5]) ).
cnf(c_1073,plain,
$false,
inference(resolve,[status(thm)],[c_1072,c_225]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN572-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n012.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Sat Sep 26 18:14:05 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.35 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.07/0.35 % Process 1216132 was started by sandbox2 on n012,
% 0.07/0.35 % Sat Sep 26 18:14:05 2026
% 0.07/0.35 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.07/0.35
% 0.07/0.35 % From the command line: assign(max_seconds, 300).
% 0.13/0.43
% 0.13/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.43
% 0.13/0.43 % Proof 1 at 0.05 (+ 0.02) seconds.
% 0.13/0.43 % Length of proof is 21.
% 0.13/0.43 % Level of proof is 6.
% 0.13/0.43 % Maximum clause weight is 13.000.
% 0.13/0.43 % Given clauses 76.
% 0.13/0.43
% 0.13/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------