%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN634-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 12:23:21 EDT 2022
% Result : Unsatisfiable 0.76s 0.96s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 8 unt; 6 nHn; 18 RR)
% Number of literals : 33 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
p3(u,u),
file('SYN634-1.p',unknown),
[] ).
cnf(7,axiom,
~ p3(c23,f8(c24)),
file('SYN634-1.p',unknown),
[] ).
cnf(8,axiom,
p3(f4(f6(u,f7(v,w))),v),
file('SYN634-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ p3(u,v)
| ~ p3(u,w)
| p3(w,v) ),
file('SYN634-1.p',unknown),
[] ).
cnf(25,axiom,
~ p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)),
file('SYN634-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ p22(u,f16(f6(c25,f7(c23,c26))))
| p21(f12(f13(c28,c29)),f12(f13(c28,u))) ),
file('SYN634-1.p',unknown),
[] ).
cnf(36,axiom,
( p3(f4(u),f8(c24))
| p22(f18(u,v,w),f16(u))
| p10(f11(u,c27,v),f11(u,c27,w)) ),
file('SYN634-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ p21(f12(f13(u,v)),f12(f13(u,f18(w,u,v))))
| p3(f4(w),f8(c24))
| p10(f11(w,c27,u),f11(w,c27,v)) ),
file('SYN634-1.p',unknown),
[] ).
cnf(57,plain,
( ~ p3(u,v)
| p3(v,u) ),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.0')] ).
cnf(59,plain,
( ~ p3(f4(f6(u,f7(v,w))),x)
| p3(x,v) ),
inference(res,[status(thm),theory(equality)],[8,17]),
[iquote('0:Res:8.0,17.0')] ).
cnf(199,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p22(f18(f6(c25,f7(c23,c26)),c28,c29),f16(f6(c25,f7(c23,c26)))) ),
inference(res,[status(thm),theory(equality)],[36,25]),
[iquote('0:Res:36.2,25.0')] ).
cnf(584,plain,
( ~ p22(f18(u,c28,c29),f16(f6(c25,f7(c23,c26))))
| p3(f4(u),f8(c24))
| p10(f11(u,c27,c28),f11(u,c27,c29)) ),
inference(res,[status(thm),theory(equality)],[26,39]),
[iquote('0:Res:26.1,39.0')] ).
cnf(2262,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(res,[status(thm),theory(equality)],[199,584]),
[iquote('0:Res:199.1,584.0')] ).
cnf(2263,plain,
( p3(f4(f6(c25,f7(c23,c26))),f8(c24))
| p10(f11(f6(c25,f7(c23,c26)),c27,c28),f11(f6(c25,f7(c23,c26)),c27,c29)) ),
inference(obv,[status(thm),theory(equality)],[2262]),
[iquote('0:Obv:2262.0')] ).
cnf(2264,plain,
p3(f4(f6(c25,f7(c23,c26))),f8(c24)),
inference(mrr,[status(thm)],[2263,25]),
[iquote('0:MRR:2263.1,25.0')] ).
cnf(2281,plain,
p3(f8(c24),c23),
inference(res,[status(thm),theory(equality)],[2264,59]),
[iquote('0:Res:2264.0,59.0')] ).
cnf(2298,plain,
p3(c23,f8(c24)),
inference(res,[status(thm),theory(equality)],[2281,57]),
[iquote('0:Res:2281.0,57.0')] ).
cnf(2306,plain,
$false,
inference(mrr,[status(thm)],[2298,7]),
[iquote('0:MRR:2298.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN634-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.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 12:36:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.76/0.96
% 0.76/0.96 SPASS V 3.9
% 0.76/0.96 SPASS beiseite: Proof found.
% 0.76/0.96 % SZS status Theorem
% 0.76/0.96 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.96 SPASS derived 2258 clauses, backtracked 0 clauses, performed 0 splits and kept 1164 clauses.
% 0.76/0.96 SPASS allocated 65185 KBytes.
% 0.76/0.96 SPASS spent 0:00:00.61 on the problem.
% 0.76/0.96 0:00:00.04 for the input.
% 0.76/0.96 0:00:00.00 for the FLOTTER CNF translation.
% 0.76/0.96 0:00:00.03 for inferences.
% 0.76/0.96 0:00:00.00 for the backtracking.
% 0.76/0.96 0:00:00.51 for the reduction.
% 0.76/0.96
% 0.76/0.96
% 0.76/0.96 Here is a proof with depth 4, length 18 :
% 0.76/0.96 % SZS output start Refutation
% See solution above
% 0.76/0.96 Formulae used in the proof : p3_4 not_p3_7 p3_8 p3_17 not_p10_25 p21_26 p3_36 p3_39
% 0.76/0.96
%------------------------------------------------------------------------------