%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN614-1 : 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 : n007.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 09:38:57 AM UTC 2026
% Result : Unsatisfiable 80.55s 10.67s
% Output : CNFRefutation 80.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of formulae : 34 ( 18 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 71 ( 39 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 9 ( 3 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 8 con; 0-2 aty)
% Number of variables : 50 ( 0 sgn 14 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_2,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_2) ).
cnf(c_2,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_2]) ).
fof(p19_6,axiom,
p19(c23,f3(f4(f5(c22)))),
file('theBenchmark.p',p19_6) ).
cnf(c_6,plain,
p19(c23,f3(f4(f5(c22)))),
inference(clausify,[status(thm)],[p19_6]) ).
fof(p20_7,axiom,
p20(c24,f6(f3(f4(f5(c22))),c21)),
file('theBenchmark.p',p20_7) ).
cnf(c_7,plain,
p20(c24,f6(f3(f4(f5(c22))),c21)),
inference(clausify,[status(thm)],[p20_7]) ).
fof(p2_13,axiom,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
file('theBenchmark.p',p2_13) ).
cnf(c_13,plain,
p2(c26,f14(f16(c28,f17(c21,c27)),c25)),
inference(clausify,[status(thm)],[p2_13]) ).
fof(p7_15,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p7(VAR_2,VAR_1)
| ~ p7(VAR_2,VAR_0)
| p7(VAR_0,VAR_1) ),
file('theBenchmark.p',p7_15) ).
cnf(c_15,plain,
( ~ p7(C,B)
| ~ p7(C,A)
| p7(A,B) ),
inference(clausify,[status(thm)],[p7_15]) ).
fof(p19_18,axiom,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
file('theBenchmark.p',p19_18) ).
cnf(c_18,plain,
p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24),
inference(clausify,[status(thm)],[p19_18]) ).
fof(p7_23,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_1,VAR_3)
| ~ p7(VAR_0,VAR_2)
| p7(f8(VAR_0,VAR_1),f8(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_23) ).
cnf(c_23,plain,
( ~ p7(B,D)
| ~ p7(A,C)
| p7(f8(A,B),f8(C,D)) ),
inference(clausify,[status(thm)],[p7_23]) ).
fof(p7_24,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_0,VAR_2)
| ~ p2(VAR_1,VAR_3)
| p7(f10(VAR_0,VAR_1),f10(VAR_2,VAR_3)) ),
file('theBenchmark.p',p7_24) ).
cnf(c_24,plain,
( ~ p7(A,C)
| ~ p2(B,D)
| p7(f10(A,B),f10(C,D)) ),
inference(clausify,[status(thm)],[p7_24]) ).
fof(p7_29,axiom,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
file('theBenchmark.p',p7_29) ).
cnf(c_29,plain,
p7(c25,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(clausify,[status(thm)],[p7_29]) ).
fof(not_p19_31,axiom,
! [VAR_0,VAR_1] :
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),VAR_0),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(VAR_1),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),VAR_1)
| ~ p20(VAR_1,f6(f3(f4(f5(c22))),c21))
| ~ p19(VAR_0,f3(f4(f5(c22)))) ),
file('theBenchmark.p',not_p19_31) ).
cnf(c_31,plain,
( ~ p7(c25,f8(f10(f12(f11(f3(f5(c22)))),A),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(B),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),B)
| ~ p20(B,f6(f3(f4(f5(c22))),c21))
| ~ p19(A,f3(f4(f5(c22)))) ),
inference(clausify,[status(thm)],[not_p19_31]) ).
cnf(c_20024,plain,
( ~ p7(A,B)
| p7(f10(A,c26),f10(B,f14(f16(c28,f17(c21,c27)),c25))) ),
inference(resolve,[status(thm)],[c_24,c_13]) ).
cnf(c_40,plain,
p7(f10(A,c26),f10(A,f14(f16(c28,f17(c21,c27)),c25))),
inference(resolve,[status(thm)],[c_20024,c_2]) ).
cnf(c_20025,plain,
( ~ p7(c25,A)
| p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),A) ),
inference(resolve,[status(thm)],[c_15,c_29]) ).
cnf(c_59,plain,
p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),c25),
inference(resolve,[status(thm)],[c_20025,c_2]) ).
cnf(c_72,plain,
( ~ p7(C,f8(f10(f12(f11(f3(f5(c22)))),A),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(B),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(C,c25)
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),B)
| ~ p20(B,f6(f3(f4(f5(c22))),c21))
| ~ p19(A,f3(f4(f5(c22)))) ),
inference(resolve,[status(thm)],[c_31,c_15]) ).
cnf(c_20026,plain,
( ~ p7(B,C)
| p7(f8(f10(A,c26),B),f8(f10(A,f14(f16(c28,f17(c21,c27)),c25)),C)) ),
inference(resolve,[status(thm)],[c_23,c_40]) ).
cnf(c_460,plain,
p7(f8(f10(A,c26),B),f8(f10(A,f14(f16(c28,f17(c21,c27)),c25)),B)),
inference(resolve,[status(thm)],[c_20026,c_2]) ).
cnf(c_20027,plain,
( ~ p7(B,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(A),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(B,c25)
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),A)
| ~ p20(A,f6(f3(f4(f5(c22))),c21)) ),
inference(resolve,[status(thm)],[c_72,c_6]) ).
cnf(c_20028,plain,
( ~ p7(A,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(A,c25)
| ~ p19(f6(f3(f4(f5(c22))),f18(c21,f3(f5(c22)))),c24) ),
inference(resolve,[status(thm)],[c_20027,c_7]) ).
cnf(c_20029,plain,
( ~ p7(A,f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))))
| ~ p7(A,c25) ),
inference(resolve,[status(thm)],[c_20028,c_18]) ).
cnf(c_13180,plain,
~ p7(f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),c26),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27)))),f8(f10(f12(f11(f3(f5(c22)))),c23),f8(f10(f11(f3(f4(f5(c22)))),f14(f16(c28,f17(c21,c27)),c25)),f9(f11(c24),f10(f11(f3(f4(f5(c22)))),c27))))),
inference(resolve,[status(thm)],[c_20029,c_59]) ).
cnf(c_20030,plain,
( ~ p7(B,C)
| p7(f8(A,B),f8(A,C)) ),
inference(resolve,[status(thm)],[c_23,c_2]) ).
cnf(c_20022,plain,
p7(f8(A,f8(f10(B,c26),C)),f8(A,f8(f10(B,f14(f16(c28,f17(c21,c27)),c25)),C))),
inference(resolve,[status(thm)],[c_20030,c_460]) ).
cnf(c_20023,plain,
$false,
inference(resolve,[status(thm)],[c_20022,c_13180]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN614-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 % Computer : n007.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sat Sep 26 18:14:09 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/0.43 % Process 188939 was started by sandbox on n007,
% 0.17/0.43 % Sat Sep 26 18:14:09 2026
% 0.17/0.43 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/0.44
% 0.17/0.44 % From the command line: assign(max_seconds, 300).
% 80.55/10.67
% 80.55/10.67 % given #500 (A,wt=23): 130 p15(f17(f5(c26),f5(c26)),f17(f5(f14(f16(c28,f17(c21,c27)),c25)),f5(f14(f16(c28,f17(c21,c27)),c25)))). [ur(28,b,33,a,c,33,a)].
% 80.55/10.67
% 80.55/10.67 % SZS status Unsatisfiable for theBenchmark
% 80.55/10.67
% 80.55/10.67 % Proof 1 at 7.50 (+ 2.66) seconds.
% 80.55/10.67 % Length of proof is 17.
% 80.55/10.67 % Level of proof is 4.
% 80.55/10.67 % Maximum clause weight is 63.000.
% 80.55/10.67 % Given clauses 543.
% 80.55/10.67
% 80.55/10.67 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------