TSTP Solution File: HWV018-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 : Sat Jul 16 19:14:49 EDT 2022
% Result : Unsatisfiable 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 14
% Syntax : Number of clauses : 34 ( 13 unt; 11 nHn; 34 RR)
% Number of literals : 82 ( 0 equ; 26 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_Rd(t_139),
file('HWV018-1.p',unknown),
[] ).
cnf(2,axiom,
p_Wr(t_139),
file('HWV018-1.p',unknown),
[] ).
cnf(3,axiom,
p_Full(t_139),
file('HWV018-1.p',unknown),
[] ).
cnf(4,axiom,
~ p_Reset(t_139),
file('HWV018-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ p_Full(plus(t_139,n1))
| ~ p_Wr_error(plus(t_139,n1)) ),
file('HWV018-1.p',unknown),
[] ).
cnf(22,axiom,
~ gt(u,u),
file('HWV018-1.p',unknown),
[] ).
cnf(26,axiom,
equal(int_level(u),level(u)),
file('HWV018-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ equal(int_level(u),fifo_length)
| p_Full(u) ),
file('HWV018-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ p_Full(u)
| equal(int_level(u),fifo_length) ),
file('HWV018-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ p_Reset(u)
| ~ p_Wr_error(plus(u,n1)) ),
file('HWV018-1.p',unknown),
[] ).
cnf(47,axiom,
( ~ p_Wr(u)
| p_Reset(u)
| p_Rd(u)
| gt(fifo_length,int_level(u))
| p_Wr_error(plus(u,n1)) ),
file('HWV018-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ p_Wr(u)
| p_Reset(u)
| p_Rd(u)
| gt(fifo_length,int_level(u))
| equal(int_level(plus(u,n1)),int_level(u)) ),
file('HWV018-1.p',unknown),
[] ).
cnf(56,axiom,
( ~ p_Wr(u)
| ~ p_Rd(u)
| ~ p_Wr_error(plus(u,n1))
| p_Reset(u) ),
file('HWV018-1.p',unknown),
[] ).
cnf(87,axiom,
( p_Reset(u)
| p_Wr(u)
| p_Rd(u)
| equal(int_level(plus(u,n1)),int_level(u)) ),
file('HWV018-1.p',unknown),
[] ).
cnf(98,plain,
( ~ p_Full(u)
| equal(level(u),fifo_length) ),
inference(rew,[status(thm),theory(equality)],[26,28]),
[iquote('0:Rew:26.0,28.1')] ).
cnf(99,plain,
( ~ equal(level(u),fifo_length)
| p_Full(u) ),
inference(rew,[status(thm),theory(equality)],[26,27]),
[iquote('0:Rew:26.0,27.0')] ).
cnf(103,plain,
( p_Rd(u)
| p_Wr(u)
| p_Reset(u)
| equal(level(plus(u,n1)),level(u)) ),
inference(rew,[status(thm),theory(equality)],[26,87]),
[iquote('0:Rew:26.0,87.3,26.0,87.3')] ).
cnf(104,plain,
( ~ p_Rd(u)
| ~ p_Wr(u)
| ~ p_Wr_error(plus(u,n1)) ),
inference(mrr,[status(thm)],[56,34]),
[iquote('0:MRR:56.3,34.0')] ).
cnf(113,plain,
( ~ p_Wr(u)
| p_Rd(u)
| p_Reset(u)
| p_Wr_error(plus(u,n1))
| gt(fifo_length,level(u)) ),
inference(rew,[status(thm),theory(equality)],[26,47]),
[iquote('0:Rew:26.0,47.3')] ).
cnf(123,plain,
( ~ p_Wr(u)
| p_Reset(u)
| p_Rd(u)
| gt(fifo_length,level(u))
| equal(level(plus(u,n1)),level(u)) ),
inference(rew,[status(thm),theory(equality)],[26,49]),
[iquote('0:Rew:26.0,49.4,26.0,49.4,26.0,49.3')] ).
cnf(124,plain,
( p_Rd(u)
| p_Reset(u)
| gt(fifo_length,level(u))
| equal(level(plus(u,n1)),level(u)) ),
inference(mrr,[status(thm)],[123,103]),
[iquote('0:MRR:123.0,103.1')] ).
cnf(178,plain,
equal(level(t_139),fifo_length),
inference(res,[status(thm),theory(equality)],[3,98]),
[iquote('0:Res:3.0,98.0')] ).
cnf(189,plain,
( p_Reset(t_139)
| p_Rd(t_139)
| gt(fifo_length,level(t_139))
| p_Wr_error(plus(t_139,n1)) ),
inference(res,[status(thm),theory(equality)],[2,113]),
[iquote('0:Res:2.0,113.0')] ).
cnf(192,plain,
( ~ p_Rd(t_139)
| ~ p_Wr_error(plus(t_139,n1)) ),
inference(res,[status(thm),theory(equality)],[2,104]),
[iquote('0:Res:2.0,104.0')] ).
cnf(204,plain,
( p_Rd(t_139)
| gt(fifo_length,level(t_139))
| equal(level(plus(t_139,n1)),level(t_139)) ),
inference(res,[status(thm),theory(equality)],[124,4]),
[iquote('0:Res:124.0,4.0')] ).
cnf(237,plain,
( p_Reset(t_139)
| p_Rd(t_139)
| gt(fifo_length,fifo_length)
| p_Wr_error(plus(t_139,n1)) ),
inference(rew,[status(thm),theory(equality)],[178,189]),
[iquote('0:Rew:178.0,189.2')] ).
cnf(238,plain,
p_Wr_error(plus(t_139,n1)),
inference(mrr,[status(thm)],[237,4,1,22]),
[iquote('0:MRR:237.0,237.1,237.2,4.0,1.0,22.0')] ).
cnf(239,plain,
~ p_Full(plus(t_139,n1)),
inference(mrr,[status(thm)],[5,238]),
[iquote('0:MRR:5.1,238.0')] ).
cnf(240,plain,
~ p_Rd(t_139),
inference(mrr,[status(thm)],[192,238]),
[iquote('0:MRR:192.1,238.0')] ).
cnf(241,plain,
( p_Rd(t_139)
| gt(fifo_length,fifo_length)
| equal(level(plus(t_139,n1)),fifo_length) ),
inference(rew,[status(thm),theory(equality)],[178,204]),
[iquote('0:Rew:178.0,204.2,178.0,204.1')] ).
cnf(242,plain,
equal(level(plus(t_139,n1)),fifo_length),
inference(mrr,[status(thm)],[241,240,22]),
[iquote('0:MRR:241.0,241.1,240.0,22.0')] ).
cnf(281,plain,
( ~ equal(fifo_length,fifo_length)
| p_Full(plus(t_139,n1)) ),
inference(spl,[status(thm),theory(equality)],[242,99]),
[iquote('0:SpL:242.0,99.0')] ).
cnf(283,plain,
p_Full(plus(t_139,n1)),
inference(obv,[status(thm),theory(equality)],[281]),
[iquote('0:Obv:281.0')] ).
cnf(284,plain,
$false,
inference(mrr,[status(thm)],[283,239]),
[iquote('0:MRR:283.0,239.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : HWV018-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 08:56:22 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 78 clauses, backtracked 0 clauses, performed 0 splits and kept 120 clauses.
% 0.20/0.44 SPASS allocated 75821 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.01 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 2, length 34 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_17 axiom_21 axiom_22 axiom_23 axiom_29 axiom_42 axiom_44 axiom_51 axiom_82
% 0.20/0.44
%------------------------------------------------------------------------------