%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN694-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 12:23:43 EDT 2022
% Result : Unsatisfiable 66.77s 66.95s
% Output : Refutation 66.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of clauses : 16 ( 10 unt; 0 nHn; 16 RR)
% Number of literals : 24 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(7,axiom,
p10(u,u),
file('SYN694-1.p',unknown),
[] ).
cnf(12,axiom,
p2(u,u),
file('SYN694-1.p',unknown),
[] ).
cnf(18,axiom,
p2(c44,c45),
file('SYN694-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ p2(u,v)
| p3(f4(u),f4(v)) ),
file('SYN694-1.p',unknown),
[] ).
cnf(42,axiom,
( ~ p2(u,v)
| ~ p2(u,w)
| p2(w,v) ),
file('SYN694-1.p',unknown),
[] ).
cnf(55,axiom,
p2(f11(f4(f23(c44,f9(f20(c37)))),c43),f11(f4(c44),c43)),
file('SYN694-1.p',unknown),
[] ).
cnf(56,axiom,
~ p2(f11(f4(c45),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
file('SYN694-1.p',unknown),
[] ).
cnf(61,axiom,
( ~ p3(u,v)
| ~ p10(w,x)
| p2(f11(u,w),f11(v,x)) ),
file('SYN694-1.p',unknown),
[] ).
cnf(166,plain,
( ~ p2(u,v)
| p2(v,u) ),
inference(res,[status(thm),theory(equality)],[12,42]),
[iquote('0:Res:12.0,42.0')] ).
cnf(185,plain,
p2(f11(f4(c44),c43),f11(f4(f23(c44,f9(f20(c37)))),c43)),
inference(res,[status(thm),theory(equality)],[55,166]),
[iquote('0:Res:55.0,166.0')] ).
cnf(3677,plain,
( ~ p2(f11(f4(c44),c43),u)
| p2(u,f11(f4(f23(c44,f9(f20(c37)))),c43)) ),
inference(res,[status(thm),theory(equality)],[185,42]),
[iquote('0:Res:185.0,42.0')] ).
cnf(29495,plain,
~ p2(f11(f4(c44),c43),f11(f4(c45),c43)),
inference(res,[status(thm),theory(equality)],[3677,56]),
[iquote('0:Res:3677.1,56.0')] ).
cnf(29521,plain,
( ~ p3(f4(c44),f4(c45))
| ~ p10(c43,c43) ),
inference(res,[status(thm),theory(equality)],[61,29495]),
[iquote('0:Res:61.2,29495.0')] ).
cnf(29527,plain,
~ p3(f4(c44),f4(c45)),
inference(mrr,[status(thm)],[29521,7]),
[iquote('0:MRR:29521.1,7.0')] ).
cnf(29530,plain,
~ p2(c44,c45),
inference(res,[status(thm),theory(equality)],[36,29527]),
[iquote('0:Res:36.1,29527.0')] ).
cnf(29534,plain,
$false,
inference(mrr,[status(thm)],[29530,18]),
[iquote('0:MRR:29530.0,18.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN694-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 00:05:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 66.77/66.95
% 66.77/66.95 SPASS V 3.9
% 66.77/66.95 SPASS beiseite: Proof found.
% 66.77/66.95 % SZS status Theorem
% 66.77/66.95 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 66.77/66.95 SPASS derived 28990 clauses, backtracked 0 clauses, performed 0 splits and kept 17675 clauses.
% 66.77/66.95 SPASS allocated 95453 KBytes.
% 66.77/66.95 SPASS spent 0:01:05.12 on the problem.
% 66.77/66.95 0:00:00.04 for the input.
% 66.77/66.95 0:00:00.00 for the FLOTTER CNF translation.
% 66.77/66.95 0:00:00.26 for inferences.
% 66.77/66.95 0:00:00.00 for the backtracking.
% 66.77/66.95 0:01:04.48 for the reduction.
% 66.77/66.95
% 66.77/66.95
% 66.77/66.95 Here is a proof with depth 6, length 16 :
% 66.77/66.95 % SZS output start Refutation
% See solution above
% 66.77/66.95 Formulae used in the proof : p10_7 p2_12 p2_18 p3_36 p2_42 p2_55 not_p2_56 p2_61
% 66.77/66.95
%------------------------------------------------------------------------------