TSTP Solution File: SYN707-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN707-1 : 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 12:23:48 EDT 2022
% Result : Unsatisfiable 7.86s 8.04s
% Output : Refutation 7.86s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 14
% Syntax : Number of clauses : 29 ( 11 unt; 0 nHn; 29 RR)
% Number of literals : 67 ( 0 equ; 40 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p38(c56),
file('SYN707-1.p',unknown),
[] ).
cnf(3,axiom,
p10(u,u),
file('SYN707-1.p',unknown),
[] ).
cnf(8,axiom,
p16(u,u),
file('SYN707-1.p',unknown),
[] ).
cnf(13,axiom,
p37(f15(c56),c48),
file('SYN707-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ p38(u)
| p38(f15(u)) ),
file('SYN707-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ p38(u)
| ~ p10(u,v)
| p38(v) ),
file('SYN707-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ p10(u,v)
| p16(f19(u),f19(v)) ),
file('SYN707-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ p38(u)
| p16(f19(f15(u)),f28(f19(u))) ),
file('SYN707-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ p10(u,v)
| ~ p10(u,w)
| p10(w,v) ),
file('SYN707-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ p16(u,v)
| ~ p39(u,w)
| ~ p16(w,x)
| p39(v,x) ),
file('SYN707-1.p',unknown),
[] ).
cnf(54,axiom,
( ~ p38(u)
| ~ p38(v)
| ~ p37(u,v)
| p39(f19(u),f19(v)) ),
file('SYN707-1.p',unknown),
[] ).
cnf(64,axiom,
p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('SYN707-1.p',unknown),
[] ).
cnf(66,axiom,
p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
file('SYN707-1.p',unknown),
[] ).
cnf(69,axiom,
~ p39(f28(f19(c56)),f19(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))),
file('SYN707-1.p',unknown),
[] ).
cnf(131,plain,
( ~ p10(u,v)
| p10(v,u) ),
inference(res,[status(thm),theory(equality)],[3,37]),
[iquote('0:Res:3.0,37.0')] ).
cnf(496,plain,
( ~ p39(u,v)
| ~ p16(v,w)
| p39(u,w) ),
inference(res,[status(thm),theory(equality)],[8,52]),
[iquote('0:Res:8.0,52.0')] ).
cnf(512,plain,
( ~ p38(u)
| ~ p39(f19(f15(u)),v)
| ~ p16(v,w)
| p39(f28(f19(u)),w) ),
inference(res,[status(thm),theory(equality)],[36,52]),
[iquote('0:Res:36.1,52.0')] ).
cnf(551,plain,
p10(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))),c48),
inference(res,[status(thm),theory(equality)],[66,131]),
[iquote('0:Res:66.0,131.0')] ).
cnf(2609,plain,
( ~ p38(f15(u))
| ~ p38(v)
| ~ p38(u)
| ~ p37(f15(u),v)
| ~ p16(f19(v),w)
| p39(f28(f19(u)),w) ),
inference(res,[status(thm),theory(equality)],[54,512]),
[iquote('0:Res:54.3,512.1')] ).
cnf(2610,plain,
( ~ p38(u)
| ~ p38(v)
| ~ p37(f15(v),u)
| ~ p16(f19(u),w)
| p39(f28(f19(v)),w) ),
inference(ssi,[status(thm)],[2609,15]),
[iquote('0:SSi:2609.0,15.1')] ).
cnf(10859,plain,
( ~ p38(f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44)))))
| p38(c48) ),
inference(res,[status(thm),theory(equality)],[551,19]),
[iquote('0:Res:551.0,19.1')] ).
cnf(10888,plain,
p38(c48),
inference(ssi,[status(thm)],[10859,64]),
[iquote('0:SSi:10859.0,64.0')] ).
cnf(11476,plain,
( ~ p38(c48)
| ~ p38(c56)
| ~ p16(f19(c48),u)
| p39(f28(f19(c56)),u) ),
inference(res,[status(thm),theory(equality)],[13,2610]),
[iquote('0:Res:13.0,2610.2')] ).
cnf(11479,plain,
( ~ p16(f19(c48),u)
| p39(f28(f19(c56)),u) ),
inference(ssi,[status(thm)],[11476,1,10888]),
[iquote('0:SSi:11476.1,11476.0,1.0,10888.0')] ).
cnf(11482,plain,
( ~ p16(f19(c48),u)
| ~ p16(u,v)
| p39(f28(f19(c56)),v) ),
inference(res,[status(thm),theory(equality)],[11479,496]),
[iquote('0:Res:11479.1,496.0')] ).
cnf(11485,plain,
( ~ p10(c48,u)
| ~ p16(f19(u),v)
| p39(f28(f19(c56)),v) ),
inference(res,[status(thm),theory(equality)],[32,11482]),
[iquote('0:Res:32.1,11482.0')] ).
cnf(11490,plain,
( ~ p10(c48,u)
| p39(f28(f19(c56)),f19(u)) ),
inference(res,[status(thm),theory(equality)],[8,11485]),
[iquote('0:Res:8.0,11485.1')] ).
cnf(11505,plain,
~ p10(c48,f11(f13(f5(c44),f14(f5(f6(f7(f7(f6(f6(f7(f7(c44)))))))),f5(c44))))),
inference(res,[status(thm),theory(equality)],[11490,69]),
[iquote('0:Res:11490.1,69.0')] ).
cnf(11508,plain,
$false,
inference(mrr,[status(thm)],[11505,66]),
[iquote('0:MRR:11505.0,66.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SYN707-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 : Tue Jul 12 03:17:39 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.86/8.04
% 7.86/8.04 SPASS V 3.9
% 7.86/8.04 SPASS beiseite: Proof found.
% 7.86/8.04 % SZS status Theorem
% 7.86/8.04 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.86/8.04 SPASS derived 11379 clauses, backtracked 0 clauses, performed 0 splits and kept 7441 clauses.
% 7.86/8.04 SPASS allocated 84554 KBytes.
% 7.86/8.04 SPASS spent 0:00:07.65 on the problem.
% 7.86/8.04 0:00:00.04 for the input.
% 7.86/8.04 0:00:00.00 for the FLOTTER CNF translation.
% 7.86/8.04 0:00:00.15 for inferences.
% 7.86/8.04 0:00:00.00 for the backtracking.
% 7.86/8.04 0:00:07.34 for the reduction.
% 7.86/8.04
% 7.86/8.04
% 7.86/8.04 Here is a proof with depth 7, length 29 :
% 7.86/8.04 % SZS output start Refutation
% See solution above
% 7.86/8.04 Formulae used in the proof : c56_is_p38_1 p10_3 p16_8 p37_13 p38_15 p38_19 p16_32 p16_36 p10_37 p39_52 p39_54 f11_is_p38_64 p10_66 not_p39_69
% 7.86/8.04
%------------------------------------------------------------------------------