TSTP Solution File: SYN170-10 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n013.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 12:19:11 EDT 2022
% Result : Unsatisfiable 0.73s 0.88s
% Output : Refutation 0.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 16 unt; 0 nHn; 16 RR)
% Number of literals : 16 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('SYN170-10.p',unknown),
[] ).
cnf(15,axiom,
equal(p0(b,u),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(122,axiom,
equal(ifeq(p0(u,v),true__dfg,p1(v,v,v),true__dfg),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(173,axiom,
equal(ifeq(p1(u,v,w),true__dfg,n2(w),true__dfg),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(278,axiom,
equal(ifeq(n2(u),true__dfg,p3(u,u,u),true__dfg),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(323,axiom,
equal(ifeq(p3(u,u,v),true__dfg,p4(v,v,v),true__dfg),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(363,axiom,
~ equal(p4(u,c,v),true__dfg),
file('SYN170-10.p',unknown),
[] ).
cnf(1233,plain,
equal(ifeq(true__dfg,true__dfg,p1(u,u,u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[15,122]),
[iquote('0:SpR:15.0,122.0')] ).
cnf(1235,plain,
equal(p1(u,u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1233]),
[iquote('0:Rew:1.0,1233.0')] ).
cnf(1271,plain,
equal(ifeq(true__dfg,true__dfg,n2(u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1235,173]),
[iquote('0:SpR:1235.0,173.0')] ).
cnf(1278,plain,
equal(n2(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1271]),
[iquote('0:Rew:1.0,1271.0')] ).
cnf(1281,plain,
equal(ifeq(true__dfg,true__dfg,p3(u,u,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1278,278]),
[iquote('0:Rew:1278.0,278.0')] ).
cnf(1298,plain,
equal(p3(u,u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1281]),
[iquote('0:Rew:1.0,1281.0')] ).
cnf(1735,plain,
equal(ifeq(true__dfg,true__dfg,p4(u,u,u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1298,323]),
[iquote('0:SpR:1298.0,323.0')] ).
cnf(1736,plain,
equal(p4(u,u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1735]),
[iquote('0:Rew:1.0,1735.0')] ).
cnf(1737,plain,
$false,
inference(unc,[status(thm)],[1736,363]),
[iquote('0:UnC:1736.0,363.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN170-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n013.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 : Mon Jul 11 18:50:14 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.73/0.88
% 0.73/0.88 SPASS V 3.9
% 0.73/0.88 SPASS beiseite: Proof found.
% 0.73/0.88 % SZS status Theorem
% 0.73/0.88 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.73/0.88 SPASS derived 1008 clauses, backtracked 0 clauses, performed 0 splits and kept 608 clauses.
% 0.73/0.88 SPASS allocated 65107 KBytes.
% 0.73/0.88 SPASS spent 0:00:00.51 on the problem.
% 0.73/0.88 0:00:00.05 for the input.
% 0.73/0.88 0:00:00.00 for the FLOTTER CNF translation.
% 0.73/0.88 0:00:00.02 for inferences.
% 0.73/0.88 0:00:00.00 for the backtracking.
% 0.73/0.88 0:00:00.36 for the reduction.
% 0.73/0.88
% 0.73/0.88
% 0.73/0.88 Here is a proof with depth 2, length 16 :
% 0.73/0.88 % SZS output start Refutation
% See solution above
% 0.73/0.88 Formulae used in the proof : ifeq_axiom axiom_14 rule_085 rule_137 rule_244 rule_291 prove_this
% 0.73/0.88
%------------------------------------------------------------------------------