%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN686-1 : 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 : n015.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 09:39:07 AM UTC 2026
% Result : Unsatisfiable 0.12s 0.39s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 17
% Syntax : Number of formulae : 55 ( 33 unt; 0 def)
% Number of atoms : 92 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 86 ( 49 ~; 37 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 78 ( 0 sgn 28 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p11_1,axiom,
! [VAR_0] : p11(VAR_0,VAR_0),
file('theBenchmark.p',p11_1) ).
cnf(c_1,plain,
p11(A,A),
inference(clausify,[status(thm)],[p11_1]) ).
fof(p9_2,axiom,
! [VAR_0] : p9(VAR_0,VAR_0),
file('theBenchmark.p',p9_2) ).
cnf(c_2,plain,
p9(A,A),
inference(clausify,[status(thm)],[p9_2]) ).
fof(p8_3,axiom,
! [VAR_0] : p8(VAR_0,VAR_0),
file('theBenchmark.p',p8_3) ).
cnf(c_3,plain,
p8(A,A),
inference(clausify,[status(thm)],[p8_3]) ).
fof(p4_5,axiom,
! [VAR_0] : p4(VAR_0,VAR_0),
file('theBenchmark.p',p4_5) ).
cnf(c_5,plain,
p4(A,A),
inference(clausify,[status(thm)],[p4_5]) ).
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_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(p3_17,axiom,
p3(c36,f7(c33,c34)),
file('theBenchmark.p',p3_17) ).
cnf(c_17,plain,
p3(c36,f7(c33,c34)),
inference(clausify,[status(thm)],[p3_17]) ).
fof(p4_19,axiom,
p4(f5(c32,c36),c37),
file('theBenchmark.p',p4_19) ).
cnf(c_19,plain,
p4(f5(c32,c36),c37),
inference(clausify,[status(thm)],[p4_19]) ).
fof(p4_20,axiom,
p4(f5(c32,f7(c33,c34)),c35),
file('theBenchmark.p',p4_20) ).
cnf(c_20,plain,
p4(f5(c32,f7(c33,c34)),c35),
inference(clausify,[status(thm)],[p4_20]) ).
fof(p30_21,axiom,
p30(f10(f12(c39,c36),c37),c41),
file('theBenchmark.p',p30_21) ).
cnf(c_21,plain,
p30(f10(f12(c39,c36),c37),c41),
inference(clausify,[status(thm)],[p30_21]) ).
fof(not_p30_22,axiom,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
file('theBenchmark.p',not_p30_22) ).
cnf(c_22,plain,
~ p30(f10(f12(c39,f7(c33,c34)),c35),c41),
inference(clausify,[status(thm)],[not_p30_22]) ).
fof(p9_24,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p9(VAR_2,VAR_1)
| ~ p9(VAR_2,VAR_0)
| p9(VAR_0,VAR_1) ),
file('theBenchmark.p',p9_24) ).
cnf(c_24,plain,
( ~ p9(C,B)
| ~ p9(C,A)
| p9(A,B) ),
inference(clausify,[status(thm)],[p9_24]) ).
fof(p3_28,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_28) ).
cnf(c_28,plain,
( ~ p3(C,B)
| ~ p3(C,A)
| p3(A,B) ),
inference(clausify,[status(thm)],[p3_28]) ).
fof(p30_39,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p30(VAR_3,VAR_2)
| ~ p9(VAR_3,VAR_0)
| ~ p4(VAR_2,VAR_1)
| p30(VAR_0,VAR_1) ),
file('theBenchmark.p',p30_39) ).
cnf(c_39,plain,
( ~ p30(D,C)
| ~ p9(D,A)
| ~ p4(C,B)
| p30(A,B) ),
inference(clausify,[status(thm)],[p30_39]) ).
fof(p9_41,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p8(VAR_0,VAR_2)
| ~ p4(VAR_1,VAR_3)
| p9(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p9_41) ).
cnf(c_41,plain,
( ~ p8(A,C)
| ~ p4(B,D)
| p9(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p9_41]) ).
fof(p4_50,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_50) ).
cnf(c_50,plain,
( ~ p3(B,D)
| ~ p2(A,C)
| p4(f5(A,B),f5(C,D)) ),
inference(clausify,[status(thm)],[p4_50]) ).
fof(p8_51,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p3(VAR_1,VAR_3)
| ~ p11(VAR_0,VAR_2)
| p8(f12(VAR_0,VAR_1),f12(VAR_2,VAR_3)) ),
file('theBenchmark.p',p8_51) ).
cnf(c_51,plain,
( ~ p3(B,D)
| ~ p11(A,C)
| p8(f12(A,B),f12(C,D)) ),
inference(clausify,[status(thm)],[p8_51]) ).
cnf(c_60,plain,
( ~ p9(B,A)
| p9(A,B) ),
inference(resolve,[status(thm)],[c_24,c_2]) ).
cnf(c_72,plain,
( ~ p3(B,A)
| p3(A,B) ),
inference(resolve,[status(thm)],[c_28,c_6]) ).
cnf(c_323,plain,
( ~ p30(B,A)
| ~ p9(B,f10(f12(c39,f7(c33,c34)),c35))
| ~ p4(A,c41) ),
inference(resolve,[status(thm)],[c_39,c_22]) ).
cnf(c_324,plain,
( ~ p30(A,c41)
| ~ p9(A,f10(f12(c39,f7(c33,c34)),c35)) ),
inference(resolve,[status(thm)],[c_323,c_5]) ).
cnf(c_84,plain,
~ p9(f10(f12(c39,c36),c37),f10(f12(c39,f7(c33,c34)),c35)),
inference(resolve,[status(thm)],[c_324,c_21]) ).
cnf(c_85,plain,
( ~ p4(B,C)
| p9(f10(A,B),f10(A,C)) ),
inference(resolve,[status(thm)],[c_41,c_3]) ).
cnf(c_94,plain,
( ~ p3(B,C)
| p4(f5(A,B),f5(A,C)) ),
inference(resolve,[status(thm)],[c_50,c_12]) ).
cnf(c_95,plain,
( ~ p3(B,C)
| p8(f12(A,B),f12(A,C)) ),
inference(resolve,[status(thm)],[c_51,c_1]) ).
cnf(c_101,plain,
~ p9(f10(f12(c39,f7(c33,c34)),c35),f10(f12(c39,c36),c37)),
inference(resolve,[status(thm)],[c_60,c_84]) ).
cnf(c_105,plain,
p3(f7(c33,c34),c36),
inference(resolve,[status(thm)],[c_72,c_17]) ).
cnf(c_114,plain,
p9(f10(A,f5(c32,f7(c33,c34))),f10(A,c35)),
inference(resolve,[status(thm)],[c_85,c_20]) ).
cnf(c_115,plain,
p9(f10(A,f5(c32,c36)),f10(A,c37)),
inference(resolve,[status(thm)],[c_85,c_19]) ).
cnf(c_170,plain,
p4(f5(A,f7(c33,c34)),f5(A,c36)),
inference(resolve,[status(thm)],[c_94,c_105]) ).
cnf(c_177,plain,
p8(f12(A,f7(c33,c34)),f12(A,c36)),
inference(resolve,[status(thm)],[c_95,c_105]) ).
cnf(c_325,plain,
( ~ p9(A,f10(f12(c39,c36),c37))
| ~ p9(A,f10(f12(c39,f7(c33,c34)),c35)) ),
inference(resolve,[status(thm)],[c_24,c_101]) ).
cnf(c_249,plain,
~ p9(f10(f12(c39,c36),f5(c32,c36)),f10(f12(c39,f7(c33,c34)),c35)),
inference(resolve,[status(thm)],[c_325,c_115]) ).
cnf(c_326,plain,
( ~ p9(A,f10(f12(c39,f7(c33,c34)),c35))
| ~ p9(A,f10(f12(c39,c36),f5(c32,c36))) ),
inference(resolve,[status(thm)],[c_24,c_249]) ).
cnf(c_252,plain,
~ p9(f10(f12(c39,f7(c33,c34)),f5(c32,f7(c33,c34))),f10(f12(c39,c36),f5(c32,c36))),
inference(resolve,[status(thm)],[c_326,c_114]) ).
cnf(c_327,plain,
( ~ p8(f12(c39,f7(c33,c34)),f12(c39,c36))
| ~ p4(f5(c32,f7(c33,c34)),f5(c32,c36)) ),
inference(resolve,[status(thm)],[c_41,c_252]) ).
cnf(c_328,plain,
~ p8(f12(c39,f7(c33,c34)),f12(c39,c36)),
inference(resolve,[status(thm)],[c_327,c_170]) ).
cnf(c_322,plain,
$false,
inference(resolve,[status(thm)],[c_177,c_328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN686-1 : 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 : n015.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 18:23:14 UTC 2026
% 0.07/0.36 % CPUTime :
% 0.12/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.12/0.36 % Process 477405 was started by sandbox2 on n015,
% 0.12/0.36 % Sat Sep 26 18:23:14 2026
% 0.12/0.36 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.12/0.36
% 0.12/0.36 % From the command line: assign(max_seconds, 300).
% 0.12/0.39
% 0.12/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.12/0.39
% 0.12/0.39 % Proof 1 at 0.02 (+ 0.00) seconds.
% 0.12/0.39 % Length of proof is 32.
% 0.12/0.39 % Level of proof is 5.
% 0.12/0.39 % Maximum clause weight is 39.000.
% 0.12/0.39 % Given clauses 184.
% 0.12/0.39
% 0.12/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------