%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN591-1 : 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 : n006.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 09:38:54 AM UTC 2026
% Result : Unsatisfiable 0.09s 0.39s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 18 unt; 0 def)
% Number of atoms : 66 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 67 ( 37 ~; 30 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 46 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p7_3,axiom,
! [VAR_0] : p7(VAR_0,VAR_0),
file('theBenchmark.p',p7_3) ).
cnf(c_3,plain,
p7(A,A),
inference(clausify,[status(thm)],[p7_3]) ).
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(p12_11,axiom,
p12(c14,f4(c18,c17)),
file('theBenchmark.p',p12_11) ).
cnf(c_11,plain,
p12(c14,f4(c18,c17)),
inference(clausify,[status(thm)],[p12_11]) ).
fof(not_p11_12,axiom,
~ p11(c13,f4(c17,f6(c18))),
file('theBenchmark.p',not_p11_12) ).
cnf(c_12,plain,
~ p11(c13,f4(c17,f6(c18))),
inference(clausify,[status(thm)],[not_p11_12]) ).
fof(not_p11_13,axiom,
~ p11(c13,f4(f6(c18),c17)),
file('theBenchmark.p',not_p11_13) ).
cnf(c_13,plain,
~ p11(c13,f4(f6(c18),c17)),
inference(clausify,[status(thm)],[not_p11_13]) ).
fof(p2_20,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_20) ).
cnf(c_20,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_20]) ).
fof(p2_22,axiom,
! [VAR_0] :
( ~ p12(c14,f4(VAR_0,c17))
| p2(f6(VAR_0),f5(VAR_0)) ),
file('theBenchmark.p',p2_22) ).
cnf(c_22,plain,
( ~ p12(c14,f4(A,c17))
| p2(f6(A),f5(A)) ),
inference(clausify,[status(thm)],[p2_22]) ).
fof(p11_25,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p11(VAR_3,VAR_2)
| ~ p7(VAR_3,VAR_0)
| ~ p3(VAR_2,VAR_1)
| p11(VAR_0,VAR_1) ),
file('theBenchmark.p',p11_25) ).
cnf(c_25,plain,
( ~ p11(D,C)
| ~ p7(D,A)
| ~ p3(C,B)
| p11(A,B) ),
inference(clausify,[status(thm)],[p11_25]) ).
fof(p3_26,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p3(f4(VAR_0,VAR_1),f4(VAR_2,VAR_3)) ),
file('theBenchmark.p',p3_26) ).
cnf(c_26,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p3(f4(A,B),f4(C,D)) ),
inference(clausify,[status(thm)],[p3_26]) ).
fof(p11_27,axiom,
! [VAR_0] :
( ~ p12(c14,f4(VAR_0,c17))
| p11(c13,f4(f5(VAR_0),c17))
| p11(c13,f4(c17,f5(VAR_0))) ),
file('theBenchmark.p',p11_27) ).
cnf(c_27,plain,
( ~ p12(c14,f4(A,c17))
| p11(c13,f4(f5(A),c17))
| p11(c13,f4(c17,f5(A))) ),
inference(clausify,[status(thm)],[p11_27]) ).
cnf(c_33,plain,
( ~ p2(B,A)
| p2(A,B) ),
inference(resolve,[status(thm)],[c_20,c_4]) ).
cnf(c_36,plain,
p2(f6(c18),f5(c18)),
inference(resolve,[status(thm)],[c_22,c_11]) ).
cnf(c_42,plain,
( ~ p2(B,C)
| p3(f4(A,B),f4(A,C)) ),
inference(resolve,[status(thm)],[c_26,c_4]) ).
cnf(c_43,plain,
( ~ p2(A,C)
| p3(f4(A,B),f4(C,B)) ),
inference(resolve,[status(thm)],[c_26,c_4]) ).
cnf(c_44,plain,
( p11(c13,f4(f5(c18),c17))
| p11(c13,f4(c17,f5(c18))) ),
inference(resolve,[status(thm)],[c_27,c_11]) ).
cnf(c_50,plain,
p2(f5(c18),f6(c18)),
inference(resolve,[status(thm)],[c_36,c_33]) ).
cnf(c_67,plain,
p3(f4(A,f5(c18)),f4(A,f6(c18))),
inference(resolve,[status(thm)],[c_42,c_50]) ).
cnf(c_69,plain,
p3(f4(f5(c18),A),f4(f6(c18),A)),
inference(resolve,[status(thm)],[c_43,c_50]) ).
cnf(c_136,plain,
( ~ p11(B,A)
| ~ p7(B,c13)
| ~ p3(A,f4(c17,f6(c18))) ),
inference(resolve,[status(thm)],[c_25,c_12]) ).
cnf(c_137,plain,
( ~ p11(A,f4(c17,f5(c18)))
| ~ p7(A,c13) ),
inference(resolve,[status(thm)],[c_136,c_67]) ).
cnf(c_118,plain,
~ p11(c13,f4(c17,f5(c18))),
inference(resolve,[status(thm)],[c_137,c_3]) ).
cnf(c_121,plain,
p11(c13,f4(f5(c18),c17)),
inference(resolve,[status(thm)],[c_118,c_44]) ).
cnf(c_138,plain,
( ~ p11(B,A)
| ~ p7(B,c13)
| ~ p3(A,f4(f6(c18),c17)) ),
inference(resolve,[status(thm)],[c_25,c_13]) ).
cnf(c_139,plain,
( ~ p11(c13,A)
| ~ p3(A,f4(f6(c18),c17)) ),
inference(resolve,[status(thm)],[c_138,c_3]) ).
cnf(c_140,plain,
~ p3(f4(f5(c18),c17),f4(f6(c18),c17)),
inference(resolve,[status(thm)],[c_139,c_121]) ).
cnf(c_135,plain,
$false,
inference(resolve,[status(thm)],[c_69,c_140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SYN591-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04 % Command : prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sat Sep 26 18:14:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.09/0.37 % Process 1859192 was started by sandbox2 on n006,
% 0.09/0.37 % Sat Sep 26 18:14:55 2026
% 0.09/0.37 % The command was "/export/starexec/sandbox2/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox2/benchmark/theBenchmark.p".
% 0.09/0.37
% 0.09/0.37 % From the command line: assign(max_seconds, 300).
% 0.09/0.39
% 0.09/0.39 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.39
% 0.09/0.39 % Proof 1 at 0.01 (+ 0.00) seconds.
% 0.09/0.39 % Length of proof is 21.
% 0.09/0.39 % Level of proof is 6.
% 0.09/0.39 % Maximum clause weight is 32.000.
% 0.09/0.39 % Given clauses 72.
% 0.09/0.39
% 0.09/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------