%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN617-1 : 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 : n020.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 55.09s 7.37s
% Output : CNFRefutation 55.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 22 unt; 0 def)
% Number of atoms : 56 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 26 ~; 20 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 5 con; 0-2 aty)
% Number of variables : 61 ( 7 sgn 19 !; 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(p2_4,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_4) ).
cnf(c_4,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_4]) ).
fof(p13_5,axiom,
! [VAR_0] : p13(VAR_0,VAR_0),
file('theBenchmark.p',p13_5) ).
cnf(c_5,plain,
p13(A,A),
inference(clausify,[status(thm)],[p13_5]) ).
fof(p19_6,axiom,
p19(c21,c22),
file('theBenchmark.p',p19_6) ).
cnf(c_6,plain,
p19(c21,c22),
inference(clausify,[status(thm)],[p19_6]) ).
fof(p11_7,axiom,
! [VAR_0,VAR_1] : p11(f12(f14(VAR_0,VAR_1)),VAR_1),
file('theBenchmark.p',p11_7) ).
cnf(c_7,plain,
p11(f12(f14(A,B)),B),
inference(clausify,[status(thm)],[p11_7]) ).
fof(p13_19,axiom,
! [VAR_0,VAR_1] : p13(f15(f3(VAR_0),VAR_1),f15(VAR_0,f12(VAR_1))),
file('theBenchmark.p',p13_19) ).
cnf(c_19,plain,
p13(f15(f3(A),B),f15(A,f12(B))),
inference(clausify,[status(thm)],[p13_19]) ).
fof(p2_23,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_23) ).
cnf(c_23,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_23]) ).
fof(p13_24,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p13(VAR_2,VAR_1)
| ~ p13(VAR_2,VAR_0)
| p13(VAR_0,VAR_1) ),
file('theBenchmark.p',p13_24) ).
cnf(c_24,plain,
( ~ p13(C,B)
| ~ p13(C,A)
| p13(A,B) ),
inference(clausify,[status(thm)],[p13_24]) ).
fof(p13_28,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_0,VAR_2)
| ~ p11(VAR_1,VAR_3)
| p13(f15(VAR_0,VAR_1),f15(VAR_2,VAR_3)) ),
file('theBenchmark.p',p13_28) ).
cnf(c_28,plain,
( ~ p2(A,C)
| ~ p11(B,D)
| p13(f15(A,B),f15(C,D)) ),
inference(clausify,[status(thm)],[p13_28]) ).
fof(p2_31,axiom,
! [VAR_0,VAR_1] :
( ~ p19(VAR_1,VAR_0)
| p2(f4(f4(f3(VAR_0),f5(f6(c20))),VAR_1),f3(f4(f4(VAR_0,f5(f6(c20))),VAR_1))) ),
file('theBenchmark.p',p2_31) ).
cnf(c_31,plain,
( ~ p19(B,A)
| p2(f4(f4(f3(A),f5(f6(c20))),B),f3(f4(f4(A,f5(f6(c20))),B))) ),
inference(clausify,[status(thm)],[p2_31]) ).
fof(not_p13_32,axiom,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
file('theBenchmark.p',not_p13_32) ).
cnf(c_32,plain,
~ p13(f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24)),f15(f4(f4(c22,f5(f6(c20))),c21),c24)),
inference(clausify,[status(thm)],[not_p13_32]) ).
cnf(c_34504,plain,
( ~ p13(f15(f3(A),B),C)
| p13(f15(A,f12(B)),C) ),
inference(resolve,[status(thm)],[c_24,c_19]) ).
cnf(c_41,plain,
p13(f15(A,f12(B)),f15(f3(A),B)),
inference(resolve,[status(thm)],[c_34504,c_5]) ).
cnf(c_34505,plain,
( ~ p2(A,D)
| p13(f15(A,f12(f14(B,C))),f15(D,C)) ),
inference(resolve,[status(thm)],[c_28,c_7]) ).
cnf(c_49,plain,
p13(f15(A,f12(f14(B,C))),f15(A,C)),
inference(resolve,[status(thm)],[c_34505,c_4]) ).
cnf(c_55,plain,
p2(f4(f4(f3(c22),f5(f6(c20))),c21),f3(f4(f4(c22,f5(f6(c20))),c21))),
inference(resolve,[status(thm)],[c_31,c_6]) ).
cnf(c_34506,plain,
( ~ p13(f15(A,f12(B)),C)
| p13(f15(f3(A),B),C) ),
inference(resolve,[status(thm)],[c_24,c_41]) ).
cnf(c_502,plain,
p13(f15(f3(A),f14(B,C)),f15(A,C)),
inference(resolve,[status(thm)],[c_34506,c_49]) ).
cnf(c_34507,plain,
( ~ p13(A,f15(f4(f4(c22,f5(f6(c20))),c21),c24))
| ~ p13(A,f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))) ),
inference(resolve,[status(thm)],[c_24,c_32]) ).
cnf(c_578,plain,
~ p13(f15(f3(f4(f4(c22,f5(f6(c20))),c21)),f14(A,c24)),f15(f4(f4(f3(c22),f5(f6(c20))),c21),f14(c23,c24))),
inference(resolve,[status(thm)],[c_34507,c_502]) ).
cnf(c_34508,plain,
( ~ p2(f4(f4(f3(c22),f5(f6(c20))),c21),A)
| p2(f3(f4(f4(c22,f5(f6(c20))),c21)),A) ),
inference(resolve,[status(thm)],[c_23,c_55]) ).
cnf(c_853,plain,
p2(f3(f4(f4(c22,f5(f6(c20))),c21)),f4(f4(f3(c22),f5(f6(c20))),c21)),
inference(resolve,[status(thm)],[c_34508,c_4]) ).
cnf(c_34509,plain,
( ~ p2(f3(f4(f4(c22,f5(f6(c20))),c21)),f4(f4(f3(c22),f5(f6(c20))),c21))
| ~ p11(f14(A,c24),f14(c23,c24)) ),
inference(resolve,[status(thm)],[c_578,c_28]) ).
cnf(c_34502,plain,
~ p11(f14(A,c24),f14(c23,c24)),
inference(resolve,[status(thm)],[c_853,c_34509]) ).
cnf(c_34503,plain,
$false,
inference(resolve,[status(thm)],[c_34502,c_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SYN617-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.03 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n020.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Sat Sep 26 18:16:49 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.10/0.36 % Process 2219928 was started by sandbox on n020,
% 0.10/0.36 % Sat Sep 26 18:16:49 2026
% 0.10/0.36 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.10/0.36
% 0.10/0.36 % From the command line: assign(max_seconds, 300).
% 55.09/7.37
% 55.09/7.37 % given #500 (W,wt=28): 564 -p11(f14(c23,c24),c24) | -p2(A,c22) | -p2(B,c22) | -p2(C,B) | -p2(C,f3(A)). [resolve(139,c,23,a)].
% 55.09/7.37
% 55.09/7.37 % given #1000 (T,wt=40): 1602 p13(f15(A,f12(f12(f14(B,C)))),f15(f3(f3(A)),f14(D,C))). [ur(24,b,155,a,c,591,a)].
% 55.09/7.37
% 55.09/7.37 % given #1500 (F,wt=28): 18629 -p11(f14(c23,c24),c24) | -p2(f3(c22),A) | -p2(c22,B) | -p2(C,B) | -p2(C,A). [resolve(18624,c,23,a)].
% 55.09/7.37
% 55.09/7.37 % SZS status Unsatisfiable for theBenchmark
% 55.09/7.37
% 55.09/7.37 % Proof 1 at 5.41 (+ 1.52) seconds.
% 55.09/7.37 % Length of proof is 19.
% 55.09/7.37 % Level of proof is 5.
% 55.09/7.37 % Maximum clause weight is 60.000.
% 55.09/7.37 % Given clauses 1750.
% 55.09/7.37
% 55.09/7.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------