TSTP Solution File: SYN072+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 12:18:20 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 5
% Syntax : Number of clauses : 36 ( 10 unt; 23 nHn; 36 RR)
% Number of literals : 103 ( 0 equ; 11 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 10 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big_p(a),
file('SYN072+1.p',unknown),
[] ).
cnf(2,axiom,
big_p(b),
file('SYN072+1.p',unknown),
[] ).
cnf(3,axiom,
~ big_p(skc3),
file('SYN072+1.p',unknown),
[] ).
cnf(4,axiom,
~ equal(b,a),
file('SYN072+1.p',unknown),
[] ).
cnf(5,axiom,
( equal(u,skc4)
| equal(u,skc5) ),
file('SYN072+1.p',unknown),
[] ).
cnf(6,plain,
( ~ equal(skc5,skc4)
| equal(u,skc4) ),
inference(eqf,[status(thm),theory(equality)],[5]),
[iquote('0:EqF:5.1,5.0')] ).
cnf(8,plain,
( equal(u,skc4)
| equal(v,skc4)
| equal(v,u) ),
inference(spr,[status(thm),theory(equality)],[5]),
[iquote('0:SpR:5.1,5.1')] ).
cnf(9,plain,
~ equal(skc5,skc4),
inference(aed,[status(thm),theory(equality)],[4,6]),
[iquote('0:AED:4.0,6.1')] ).
cnf(27,plain,
( equal(u,skc4)
| equal(u,v)
| equal(w,v)
| equal(x,skc4)
| equal(x,w) ),
inference(spr,[status(thm),theory(equality)],[8]),
[iquote('0:SpR:8.0,8.0')] ).
cnf(135,plain,
( equal(skc4,b)
| equal(u,v)
| equal(w,skc4)
| equal(w,u)
| big_p(v) ),
inference(spr,[status(thm),theory(equality)],[27,2]),
[iquote('0:SpR:27.1,2.0')] ).
cnf(136,plain,
( equal(skc4,a)
| equal(u,v)
| equal(w,skc4)
| equal(w,u)
| big_p(v) ),
inference(spr,[status(thm),theory(equality)],[27,1]),
[iquote('0:SpR:27.1,1.0')] ).
cnf(143,plain,
( equal(u,skc4)
| equal(u,v)
| equal(w,skc4)
| equal(w,b)
| big_p(v) ),
inference(spr,[status(thm),theory(equality)],[27,2]),
[iquote('0:SpR:27.2,2.0')] ).
cnf(144,plain,
( equal(u,skc4)
| equal(u,v)
| equal(w,skc4)
| equal(w,a)
| big_p(v) ),
inference(spr,[status(thm),theory(equality)],[27,1]),
[iquote('0:SpR:27.2,1.0')] ).
cnf(178,plain,
( ~ big_p(u)
| equal(skc4,skc3)
| equal(v,u)
| equal(w,skc4)
| equal(w,v) ),
inference(spl,[status(thm),theory(equality)],[27,3]),
[iquote('0:SpL:27.1,3.0')] ).
cnf(198,plain,
( equal(b,a)
| equal(u,v)
| equal(w,skc4)
| equal(w,u)
| big_p(v) ),
inference(rew,[status(thm),theory(equality)],[135,136]),
[iquote('0:Rew:135.0,136.0')] ).
cnf(199,plain,
( equal(u,v)
| equal(w,skc4)
| equal(w,u)
| big_p(v) ),
inference(mrr,[status(thm)],[198,4]),
[iquote('0:MRR:198.0,4.0')] ).
cnf(200,plain,
( equal(skc4,skc3)
| equal(u,v)
| equal(w,skc4)
| equal(w,u) ),
inference(mrr,[status(thm)],[178,199]),
[iquote('0:MRR:178.0,199.3')] ).
cnf(201,plain,
( equal(u,skc3)
| equal(u,v)
| equal(w,v)
| equal(x,skc4)
| equal(x,w) ),
inference(rew,[status(thm),theory(equality)],[200,27]),
[iquote('0:Rew:200.0,27.0')] ).
cnf(352,plain,
( ~ big_p(u)
| equal(v,skc4)
| equal(v,u)
| big_p(skc3) ),
inference(spl,[status(thm),theory(equality)],[199,3]),
[iquote('0:SpL:199.0,3.0')] ).
cnf(363,plain,
( ~ big_p(u)
| equal(v,skc4)
| equal(v,u) ),
inference(mrr,[status(thm)],[352,3]),
[iquote('0:MRR:352.3,3.0')] ).
cnf(364,plain,
( equal(u,skc4)
| equal(u,v)
| equal(w,skc4)
| equal(w,b) ),
inference(mrr,[status(thm)],[143,363]),
[iquote('0:MRR:143.4,363.0')] ).
cnf(365,plain,
( equal(u,skc4)
| equal(u,v)
| equal(w,skc4)
| equal(w,a) ),
inference(mrr,[status(thm)],[144,363]),
[iquote('0:MRR:144.4,363.0')] ).
cnf(385,plain,
( equal(u,skc4)
| equal(u,b) ),
inference(con,[status(thm)],[364]),
[iquote('0:Con:364.0')] ).
cnf(386,plain,
( equal(u,skc4)
| equal(u,a) ),
inference(con,[status(thm)],[365]),
[iquote('0:Con:365.0')] ).
cnf(403,plain,
( ~ equal(skc4,b)
| equal(u,b) ),
inference(eqf,[status(thm),theory(equality)],[385]),
[iquote('0:EqF:385.0,385.1')] ).
cnf(413,plain,
( ~ equal(skc4,skc4)
| equal(skc5,b) ),
inference(spl,[status(thm),theory(equality)],[385,9]),
[iquote('0:SpL:385.0,9.0')] ).
cnf(415,plain,
~ equal(skc4,b),
inference(aed,[status(thm),theory(equality)],[4,403]),
[iquote('0:AED:4.0,403.1')] ).
cnf(416,plain,
equal(skc5,b),
inference(obv,[status(thm),theory(equality)],[413]),
[iquote('0:Obv:413.0')] ).
cnf(489,plain,
( equal(skc4,skc3)
| equal(u,v)
| equal(w,skc4)
| equal(w,u)
| equal(x,v)
| equal(y,skc4)
| equal(y,x) ),
inference(spr,[status(thm),theory(equality)],[201,8]),
[iquote('0:SpR:201.1,8.0')] ).
cnf(611,plain,
( equal(skc4,skc3)
| equal(u,skc4) ),
inference(con,[status(thm)],[489]),
[iquote('0:Con:489.1')] ).
cnf(612,plain,
equal(skc4,skc3),
inference(aed,[status(thm),theory(equality)],[4,611]),
[iquote('0:AED:4.0,611.1')] ).
cnf(633,plain,
( equal(u,skc3)
| equal(u,a) ),
inference(rew,[status(thm),theory(equality)],[612,386]),
[iquote('0:Rew:612.0,386.0')] ).
cnf(639,plain,
~ equal(skc3,b),
inference(rew,[status(thm),theory(equality)],[612,415]),
[iquote('0:Rew:612.0,415.0')] ).
cnf(746,plain,
( equal(skc5,a)
| equal(skc3,b) ),
inference(spr,[status(thm),theory(equality)],[633,416]),
[iquote('0:SpR:633.0,416.0')] ).
cnf(756,plain,
( equal(b,a)
| equal(skc3,b) ),
inference(rew,[status(thm),theory(equality)],[416,746]),
[iquote('0:Rew:416.0,746.0')] ).
cnf(757,plain,
$false,
inference(mrr,[status(thm)],[756,4,639]),
[iquote('0:MRR:756.0,756.1,4.0,639.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN072+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n012.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 01:10:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.52
% 0.19/0.52 SPASS V 3.9
% 0.19/0.52 SPASS beiseite: Proof found.
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 SPASS derived 454 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses.
% 0.19/0.52 SPASS allocated 85502 KBytes.
% 0.19/0.52 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.52 0:00:00.04 for the input.
% 0.19/0.52 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.52 0:00:00.01 for inferences.
% 0.19/0.52 0:00:00.00 for the backtracking.
% 0.19/0.52 0:00:00.08 for the reduction.
% 0.19/0.52
% 0.19/0.52
% 0.19/0.52 Here is a proof with depth 5, length 36 :
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 Formulae used in the proof : pel49_2 pel49_3 pel49 pel49_4 pel49_1
% 0.19/0.52
%------------------------------------------------------------------------------