%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN594-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 12:23:05 EDT 2022
% Result : Unsatisfiable 0.49s 0.67s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of clauses : 23 ( 9 unt; 2 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 28 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p2(u,u),
file('SYN594-1.p',unknown),
[] ).
cnf(4,axiom,
p14(c18,f3(f4(f5(c17)))),
file('SYN594-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ p14(u,v)
| p15(u,v) ),
file('SYN594-1.p',unknown),
[] ).
cnf(7,axiom,
p14(c19,f6(f3(f4(f5(c17))),c16)),
file('SYN594-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ p15(u,v)
| p2(u,v)
| p14(u,v) ),
file('SYN594-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN594-1.p',unknown),
[] ).
cnf(16,axiom,
p15(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19),
file('SYN594-1.p',unknown),
[] ).
cnf(17,axiom,
~ p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))),
file('SYN594-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p15(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p15(x,w) ),
file('SYN594-1.p',unknown),
[] ).
cnf(25,axiom,
p7(c20,f8(f10(f12(f11(f3(f5(c17)))),c18),f8(f10(f11(f3(f4(f5(c17)))),c21),f9(f11(c19),f10(f11(f3(f4(f5(c17)))),c22))))),
file('SYN594-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ p14(u,f3(f4(f5(c17))))
| ~ p15(v,f6(f3(f4(f5(c17))),c16))
| ~ p7(c20,f8(f10(f12(f11(f3(f5(c17)))),u),f8(f10(f11(f3(f4(f5(c17)))),w),f9(f11(v),f10(f11(f3(f4(f5(c17)))),c22)))))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),v) ),
file('SYN594-1.p',unknown),
[] ).
cnf(41,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(55,plain,
( p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19)
| p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(res,[status(thm),theory(equality)],[16,13]),
[iquote('0:Res:16.0,13.0')] ).
cnf(209,plain,
( ~ p14(u,v)
| ~ p2(v,w)
| ~ p2(u,x)
| p15(x,w) ),
inference(res,[status(thm),theory(equality)],[5,19]),
[iquote('0:Res:5.1,19.0')] ).
cnf(300,plain,
( ~ p14(c18,f3(f4(f5(c17))))
| ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(res,[status(thm),theory(equality)],[25,27]),
[iquote('0:Res:25.0,27.2')] ).
cnf(301,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| ~ p14(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(mrr,[status(thm)],[300,4]),
[iquote('0:MRR:300.0,4.0')] ).
cnf(314,plain,
( ~ p2(f6(f3(f4(f5(c17))),c16),u)
| ~ p2(c19,v)
| p15(v,u) ),
inference(res,[status(thm),theory(equality)],[7,209]),
[iquote('0:Res:7.0,209.0')] ).
cnf(489,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| p2(f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17)))),c19) ),
inference(res,[status(thm),theory(equality)],[55,301]),
[iquote('0:Res:55.1,301.1')] ).
cnf(956,plain,
( ~ p2(c19,u)
| p15(u,f6(f3(f4(f5(c17))),c16)) ),
inference(res,[status(thm),theory(equality)],[1,314]),
[iquote('0:Res:1.0,314.0')] ).
cnf(1117,plain,
( ~ p15(c19,f6(f3(f4(f5(c17))),c16))
| p2(c19,f6(f3(f4(f5(c17))),f13(c16,f3(f5(c17))))) ),
inference(res,[status(thm),theory(equality)],[489,41]),
[iquote('0:Res:489.1,41.0')] ).
cnf(1121,plain,
~ p15(c19,f6(f3(f4(f5(c17))),c16)),
inference(mrr,[status(thm)],[1117,17]),
[iquote('0:MRR:1117.1,17.0')] ).
cnf(1123,plain,
~ p2(c19,c19),
inference(res,[status(thm),theory(equality)],[956,1121]),
[iquote('0:Res:956.1,1121.0')] ).
cnf(1124,plain,
$false,
inference(mrr,[status(thm)],[1123,1]),
[iquote('0:MRR:1123.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN594-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 21:58:37 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.49/0.67
% 0.49/0.67 SPASS V 3.9
% 0.49/0.67 SPASS beiseite: Proof found.
% 0.49/0.67 % SZS status Theorem
% 0.49/0.67 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.49/0.67 SPASS derived 1092 clauses, backtracked 0 clauses, performed 0 splits and kept 622 clauses.
% 0.49/0.67 SPASS allocated 64101 KBytes.
% 0.49/0.67 SPASS spent 0:00:00.32 on the problem.
% 0.49/0.67 0:00:00.04 for the input.
% 0.49/0.67 0:00:00.00 for the FLOTTER CNF translation.
% 0.49/0.67 0:00:00.02 for inferences.
% 0.49/0.67 0:00:00.00 for the backtracking.
% 0.49/0.67 0:00:00.25 for the reduction.
% 0.49/0.67
% 0.49/0.67
% 0.49/0.67 Here is a proof with depth 4, length 23 :
% 0.49/0.67 % SZS output start Refutation
% See solution above
% 0.49/0.67 Formulae used in the proof : p2_1 p14_4 p15_5 p14_7 p14_13 p2_15 p15_16 not_p2_17 p15_19 p7_25 not_p14_27
% 0.49/0.67
%------------------------------------------------------------------------------