TSTP Solution File: SYN563-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:22:54 EDT 2022
% Result : Unsatisfiable 6.96s 7.19s
% Output : Refutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of clauses : 34 ( 34 unt; 0 nHn; 34 RR)
% Number of literals : 34 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq2(u,u,v,w),v),
file('SYN563-10.p',unknown),
[] ).
cnf(2,axiom,
equal(ifeq(u,u,v,w),v),
file('SYN563-10.p',unknown),
[] ).
cnf(3,axiom,
equal(p2(u,u),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(4,axiom,
equal(p6(u,u),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(5,axiom,
equal(p2(f4(c7),f4(c8)),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(7,axiom,
equal(p5(f3(f3(u)),f3(f4(u))),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(9,axiom,
equal(ifeq2(p6(c7,u),true__dfg,p6(c7,f3(u)),true__dfg),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(10,axiom,
equal(ifeq2(p5(u,v),true__dfg,p6(f4(u),v),true__dfg),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(11,axiom,
equal(ifeq2(p2(u,v),true__dfg,p2(f3(u),f3(v)),true__dfg),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(15,axiom,
equal(ifeq2(p6(u,v),true__dfg,ifeq2(p5(v,w),true__dfg,p5(u,w),true__dfg),true__dfg),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(17,axiom,
equal(ifeq2(p2(u,v),true__dfg,ifeq2(p2(w,x),true__dfg,ifeq2(p5(u,w),true__dfg,p5(v,x),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN563-10.p',unknown),
[] ).
cnf(19,axiom,
equal(ifeq(p6(f4(c7),f3(f4(c8))),true__dfg,a,b),b),
file('SYN563-10.p',unknown),
[] ).
cnf(20,axiom,
~ equal(b,a),
file('SYN563-10.p',unknown),
[] ).
cnf(38,plain,
equal(ifeq2(true__dfg,true__dfg,p6(c7,f3(c7)),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,9]),
[iquote('0:SpR:4.0,9.0')] ).
cnf(39,plain,
equal(p6(c7,f3(c7)),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,38]),
[iquote('0:Rew:1.0,38.0')] ).
cnf(43,plain,
equal(ifeq2(true__dfg,true__dfg,p6(c7,f3(f3(c7))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[39,9]),
[iquote('0:SpR:39.0,9.0')] ).
cnf(45,plain,
equal(p6(c7,f3(f3(c7))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,43]),
[iquote('0:Rew:1.0,43.0')] ).
cnf(151,plain,
equal(ifeq2(true__dfg,true__dfg,p2(f3(f4(c7)),f3(f4(c8))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[5,11]),
[iquote('0:SpR:5.0,11.0')] ).
cnf(154,plain,
equal(p2(f3(f4(c7)),f3(f4(c8))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,151]),
[iquote('0:Rew:1.0,151.0')] ).
cnf(180,plain,
equal(ifeq2(p6(u,f3(f3(v))),true__dfg,ifeq2(true__dfg,true__dfg,p5(u,f3(f4(v))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[7,15]),
[iquote('0:SpR:7.0,15.0')] ).
cnf(211,plain,
equal(ifeq2(p6(u,f3(f3(v))),true__dfg,p5(u,f3(f4(v))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,180]),
[iquote('0:Rew:1.0,180.0')] ).
cnf(463,plain,
equal(ifeq2(true__dfg,true__dfg,ifeq2(p2(u,v),true__dfg,ifeq2(p5(w,u),true__dfg,p5(w,v),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3,17]),
[iquote('0:SpR:3.0,17.0')] ).
cnf(467,plain,
equal(ifeq2(p2(u,v),true__dfg,ifeq2(p5(w,u),true__dfg,p5(w,v),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,463]),
[iquote('0:Rew:1.0,463.0')] ).
cnf(1140,plain,
equal(ifeq2(true__dfg,true__dfg,p5(c7,f3(f4(c7))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[45,211]),
[iquote('0:SpR:45.0,211.0')] ).
cnf(1155,plain,
equal(p5(c7,f3(f4(c7))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1140]),
[iquote('0:Rew:1.0,1140.0')] ).
cnf(1714,plain,
equal(ifeq2(true__dfg,true__dfg,ifeq2(p5(u,f3(f4(c7))),true__dfg,p5(u,f3(f4(c8))),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[154,467]),
[iquote('0:SpR:154.0,467.0')] ).
cnf(1739,plain,
equal(ifeq2(p5(u,f3(f4(c7))),true__dfg,p5(u,f3(f4(c8))),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1714]),
[iquote('0:Rew:1.0,1714.0')] ).
cnf(8496,plain,
equal(ifeq2(true__dfg,true__dfg,p5(c7,f3(f4(c8))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1155,1739]),
[iquote('0:SpR:1155.0,1739.0')] ).
cnf(8499,plain,
equal(p5(c7,f3(f4(c8))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,8496]),
[iquote('0:Rew:1.0,8496.0')] ).
cnf(8507,plain,
equal(ifeq2(true__dfg,true__dfg,p6(f4(c7),f3(f4(c8))),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[8499,10]),
[iquote('0:SpR:8499.0,10.0')] ).
cnf(8526,plain,
equal(p6(f4(c7),f3(f4(c8))),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,8507]),
[iquote('0:Rew:1.0,8507.0')] ).
cnf(8527,plain,
equal(ifeq(true__dfg,true__dfg,a,b),b),
inference(rew,[status(thm),theory(equality)],[8526,19]),
[iquote('0:Rew:8526.0,19.0')] ).
cnf(8529,plain,
equal(b,a),
inference(rew,[status(thm),theory(equality)],[2,8527]),
[iquote('0:Rew:2.0,8527.0')] ).
cnf(8530,plain,
$false,
inference(mrr,[status(thm)],[8529,20]),
[iquote('0:MRR:8529.0,20.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN563-10 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 14:31:29 EDT 2022
% 0.14/0.34 % CPUTime :
% 6.96/7.19
% 6.96/7.19 SPASS V 3.9
% 6.96/7.19 SPASS beiseite: Proof found.
% 6.96/7.19 % SZS status Theorem
% 6.96/7.19 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.96/7.19 SPASS derived 5531 clauses, backtracked 0 clauses, performed 0 splits and kept 3809 clauses.
% 6.96/7.19 SPASS allocated 72249 KBytes.
% 6.96/7.19 SPASS spent 0:00:06.37 on the problem.
% 6.96/7.19 0:00:00.03 for the input.
% 6.96/7.19 0:00:00.00 for the FLOTTER CNF translation.
% 6.96/7.19 0:00:00.05 for inferences.
% 6.96/7.19 0:00:00.00 for the backtracking.
% 6.96/7.19 0:00:06.23 for the reduction.
% 6.96/7.19
% 6.96/7.19
% 6.96/7.19 Here is a proof with depth 5, length 34 :
% 6.96/7.19 % SZS output start Refutation
% See solution above
% 6.96/7.19 Formulae used in the proof : ifeq_axiom ifeq_axiom_001 p2_1 p6_2 p2_4 p5_7 p6_9 p6_10 p2_11 p5_15 p5_17 not_p6_5 goal
% 6.96/7.19
%------------------------------------------------------------------------------