%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN706-1 : 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 : 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 09:39:10 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 15 unt; 0 def)
% Number of atoms : 48 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 47 ( 26 ~; 21 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 10 con; 0-2 aty)
% Number of variables : 47 ( 3 sgn 17 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p48_81,axiom,
! [VAR_0,VAR_1] :
( ~ p46(f23(c53,VAR_0),f5(c49,c50))
| ~ p45(f20(c52,c50),VAR_1)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),VAR_0)),VAR_1)),c60) ),
file('theBenchmark.p',p48_81) ).
cnf(c_4,plain,
( ~ p46(f23(c53,A),f5(c49,c50))
| ~ p45(f20(c52,c50),B)
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),A)),B)),c60) ),
inference(clausify,[status(thm)],[p48_81]) ).
fof(p46_78,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ p45(f20(c52,VAR_2),VAR_0)
| p46(f23(c53,f35(VAR_0,VAR_1)),f5(c49,VAR_2)) ),
file('theBenchmark.p',p46_78) ).
cnf(c_7,plain,
( ~ p45(f20(c52,C),A)
| p46(f23(c53,f35(A,B)),f5(c49,C)) ),
inference(clausify,[status(thm)],[p46_78]) ).
fof(p37_67,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p7(VAR_1,VAR_3)
| ~ p36(VAR_0,VAR_2)
| p37(f38(VAR_0,VAR_1),f38(VAR_2,VAR_3)) ),
file('theBenchmark.p',p37_67) ).
cnf(c_16,plain,
( ~ p7(B,D)
| ~ p36(A,C)
| p37(f38(A,B),f38(C,D)) ),
inference(clausify,[status(thm)],[p37_67]) ).
fof(p7_59,axiom,
! [VAR_0,VAR_1] : p7(f8(f11(c54,f14(f17(c55,VAR_0),f35(VAR_1,VAR_0))),VAR_1),VAR_1),
file('theBenchmark.p',p7_59) ).
cnf(c_24,plain,
p7(f8(f11(c54,f14(f17(c55,A),f35(B,A))),B),B),
inference(clausify,[status(thm)],[p7_59]) ).
fof(p48_57,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p37(VAR_3,VAR_0)
| ~ p48(VAR_3,VAR_2)
| ~ p47(VAR_2,VAR_1)
| p48(VAR_0,VAR_1) ),
file('theBenchmark.p',p48_57) ).
cnf(c_26,plain,
( ~ p37(D,A)
| ~ p48(D,C)
| ~ p47(C,B)
| p48(A,B) ),
inference(clausify,[status(thm)],[p48_57]) ).
fof(not_p48_29,axiom,
~ p48(f38(f40(c59,c50),c58),c60),
file('theBenchmark.p',not_p48_29) ).
cnf(c_54,plain,
~ p48(f38(f40(c59,c50),c58),c60),
inference(clausify,[status(thm)],[not_p48_29]) ).
fof(p45_27,axiom,
p45(f20(c52,c50),c58),
file('theBenchmark.p',p45_27) ).
cnf(c_56,plain,
p45(f20(c52,c50),c58),
inference(clausify,[status(thm)],[p45_27]) ).
fof(p36_11,axiom,
! [VAR_0] : p36(VAR_0,VAR_0),
file('theBenchmark.p',p36_11) ).
cnf(c_72,plain,
p36(A,A),
inference(clausify,[status(thm)],[p36_11]) ).
fof(p47_5,axiom,
! [VAR_0] : p47(VAR_0,VAR_0),
file('theBenchmark.p',p47_5) ).
cnf(c_78,plain,
p47(A,A),
inference(clausify,[status(thm)],[p47_5]) ).
cnf(c_83,plain,
( ~ p37(B,f38(f40(c59,c50),c58))
| ~ p48(B,A)
| ~ p47(A,c60) ),
inference(resolve,[status(thm)],[c_54,c_26]) ).
cnf(c_87,plain,
p46(f23(c53,f35(c58,A)),f5(c49,c50)),
inference(resolve,[status(thm)],[c_7,c_56]) ).
cnf(c_173,plain,
( ~ p7(B,C)
| p37(f38(A,B),f38(A,C)) ),
inference(resolve,[status(thm)],[c_16,c_72]) ).
cnf(c_91,plain,
p37(f38(A,f8(f11(c54,f14(f17(c55,B),f35(C,B))),C)),f38(A,C)),
inference(resolve,[status(thm)],[c_173,c_24]) ).
cnf(c_97,plain,
( ~ p37(A,f38(f40(c59,c50),c58))
| ~ p48(A,c60) ),
inference(resolve,[status(thm)],[c_83,c_78]) ).
cnf(c_174,plain,
( ~ p46(f23(c53,A),f5(c49,c50))
| p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),A)),c58)),c60) ),
inference(resolve,[status(thm)],[c_4,c_56]) ).
cnf(c_114,plain,
p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,c61),f35(c58,A))),c58)),c60),
inference(resolve,[status(thm)],[c_174,c_87]) ).
cnf(c_171,plain,
~ p48(f38(f40(c59,c50),f8(f11(c54,f14(f17(c55,A),f35(c58,A))),c58)),c60),
inference(resolve,[status(thm)],[c_91,c_97]) ).
cnf(c_172,plain,
$false,
inference(resolve,[status(thm)],[c_171,c_114]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SYN706-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.42 % Computer : n007.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sat Sep 26 18:18:54 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.43 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.15/0.43 % Process 202109 was started by sandbox2 on n007,
% 0.15/0.43 % Sat Sep 26 18:18:54 2026
% 0.15/0.43 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.15/0.44
% 0.15/0.44 % From the command line: assign(max_seconds, 300).
% 0.15/0.48
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48
% 0.15/0.48 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.15/0.48 % Length of proof is 16.
% 0.15/0.48 % Level of proof is 4.
% 0.15/0.48 % Maximum clause weight is 27.000.
% 0.15/0.48 % Given clauses 97.
% 0.15/0.48
% 0.15/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------