%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : SYN603-1 : 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 : 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 09:38:56 AM UTC 2026
% Result : Unsatisfiable 0.21s 5.51s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 14 unt; 0 def)
% Number of atoms : 43 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 44 ( 26 ~; 18 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 25 ( 1 sgn 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(p2_2,axiom,
! [VAR_0] : p2(VAR_0,VAR_0),
file('theBenchmark.p',p2_2) ).
cnf(c_2,plain,
p2(A,A),
inference(clausify,[status(thm)],[p2_2]) ).
fof(p15_3,axiom,
p15(c22,c21),
file('theBenchmark.p',p15_3) ).
cnf(c_3,plain,
p15(c22,c21),
inference(clausify,[status(thm)],[p15_3]) ).
fof(p2_5,axiom,
p2(c22,f9(c20,c23)),
file('theBenchmark.p',p2_5) ).
cnf(c_5,plain,
p2(c22,f9(c20,c23)),
inference(clausify,[status(thm)],[p2_5]) ).
fof(p2_6,axiom,
p2(f3(f4(c16)),c17),
file('theBenchmark.p',p2_6) ).
cnf(c_6,plain,
p2(f3(f4(c16)),c17),
inference(clausify,[status(thm)],[p2_6]) ).
fof(p2_14,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_14) ).
cnf(c_14,plain,
( ~ p2(C,B)
| ~ p2(C,A)
| p2(A,B) ),
inference(clausify,[status(thm)],[p2_14]) ).
fof(p2_19,axiom,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
file('theBenchmark.p',p2_19) ).
cnf(c_19,plain,
p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),f3(f4(c16)))),
inference(clausify,[status(thm)],[p2_19]) ).
fof(p2_21,axiom,
! [VAR_0,VAR_1,VAR_2,VAR_3] :
( ~ p2(VAR_1,VAR_3)
| ~ p2(VAR_0,VAR_2)
| p2(f6(VAR_0,VAR_1),f6(VAR_2,VAR_3)) ),
file('theBenchmark.p',p2_21) ).
cnf(c_21,plain,
( ~ p2(B,D)
| ~ p2(A,C)
| p2(f6(A,B),f6(C,D)) ),
inference(clausify,[status(thm)],[p2_21]) ).
fof(not_p15_26,axiom,
! [VAR_0,VAR_1] :
( ~ p2(f7(f8(c21,VAR_0),c20),f6(f5(f4(c16)),c17))
| ~ p2(VAR_0,f9(c20,VAR_1))
| ~ p15(VAR_0,c21) ),
file('theBenchmark.p',not_p15_26) ).
cnf(c_26,plain,
( ~ p2(f7(f8(c21,A),c20),f6(f5(f4(c16)),c17))
| ~ p2(A,f9(c20,B))
| ~ p15(A,c21) ),
inference(clausify,[status(thm)],[not_p15_26]) ).
cnf(c_247,plain,
( ~ p2(f7(f8(c21,c22),c20),A)
| p2(f6(f5(f4(c16)),f3(f4(c16))),A) ),
inference(resolve,[status(thm)],[c_14,c_19]) ).
cnf(c_79,plain,
p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)),
inference(resolve,[status(thm)],[c_247,c_2]) ).
cnf(c_248,plain,
( ~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17))
| ~ p15(c22,c21) ),
inference(resolve,[status(thm)],[c_26,c_5]) ).
cnf(c_222,plain,
~ p2(f7(f8(c21,c22),c20),f6(f5(f4(c16)),c17)),
inference(resolve,[status(thm)],[c_3,c_248]) ).
cnf(c_233,plain,
( ~ p2(A,f6(f5(f4(c16)),c17))
| ~ p2(A,f7(f8(c21,c22),c20)) ),
inference(resolve,[status(thm)],[c_222,c_14]) ).
cnf(c_237,plain,
( ~ p2(B,c17)
| ~ p2(A,f5(f4(c16)))
| ~ p2(f6(A,B),f7(f8(c21,c22),c20)) ),
inference(resolve,[status(thm)],[c_233,c_21]) ).
cnf(c_249,plain,
( ~ p2(A,c17)
| ~ p2(f6(f5(f4(c16)),A),f7(f8(c21,c22),c20)) ),
inference(resolve,[status(thm)],[c_237,c_2]) ).
cnf(c_250,plain,
~ p2(f6(f5(f4(c16)),f3(f4(c16))),f7(f8(c21,c22),c20)),
inference(resolve,[status(thm)],[c_249,c_6]) ).
cnf(c_246,plain,
$false,
inference(resolve,[status(thm)],[c_79,c_250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SYN603-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/5.45 % Computer : n006.cluster.edu
% 0.17/5.45 % Model : x86_64 x86_64
% 0.17/5.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.45 % Memory : 8046.5625MB
% 0.17/5.45 % OS : Linux 6.8.0-71-generic
% 0.17/5.45 % CPULimit : 300
% 0.17/5.45 % WCLimit : 300
% 0.17/5.45 % DateTime : Sat Sep 26 18:15:46 UTC 2026
% 0.17/5.45 % CPUTime :
% 0.17/5.45 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.17/5.45 % Process 1860353 was started by sandbox on n006,
% 0.17/5.45 % Sat Sep 26 18:15:46 2026
% 0.17/5.45 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.17/5.46
% 0.17/5.46 % From the command line: assign(max_seconds, 300).
% 0.21/5.51
% 0.21/5.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/5.51
% 0.21/5.51 % Proof 1 at 0.02 (+ 0.01) seconds.
% 0.21/5.51 % Length of proof is 13.
% 0.21/5.51 % Level of proof is 4.
% 0.21/5.51 % Maximum clause weight is 39.000.
% 0.21/5.51 % Given clauses 47.
% 0.21/5.51
% 0.21/5.51 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------