TSTP Solution File: SYN214-10 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN214-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 12:19:29 EDT 2022
% Result : Unsatisfiable 1.20s 1.40s
% Output : Refutation 1.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 17
% Syntax : Number of clauses : 52 ( 52 unt; 0 nHn; 52 RR)
% Number of literals : 52 ( 0 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 25 ( 25 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('SYN214-10.p',unknown),
[] ).
cnf(4,axiom,
equal(n0(d,e),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(15,axiom,
equal(p0(b,u),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(16,axiom,
equal(n0(a,b),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(33,axiom,
equal(k0(b),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(40,axiom,
equal(ifeq(n0(u,v),true__dfg,k1(v),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(122,axiom,
equal(ifeq(p0(u,v),true__dfg,p1(v,v,v),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(173,axiom,
equal(ifeq(p1(u,v,w),true__dfg,n2(w),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(210,axiom,
equal(ifeq(n2(u),true__dfg,ifeq(k1(e),true__dfg,p2(u,u,u),true__dfg),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(213,axiom,
equal(ifeq(p1(u,u,u),true__dfg,ifeq(k0(v),true__dfg,q2(u,v,v),true__dfg),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(274,axiom,
equal(ifeq(p2(u,v,w),true__dfg,n3(w),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(278,axiom,
equal(ifeq(n2(u),true__dfg,p3(u,u,u),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(289,axiom,
equal(ifeq(q2(u,v,w),true__dfg,ifeq(n0(u,v),true__dfg,q3(v,w),true__dfg),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(310,axiom,
equal(ifeq(p3(u,v,w),true__dfg,l4(w),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(330,axiom,
equal(ifeq(q3(u,v),true__dfg,ifeq(n3(w),true__dfg,ifeq(p0(x,w),true__dfg,r4(w),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(361,axiom,
equal(ifeq(r4(u),true__dfg,ifeq(l4(v),true__dfg,s5(v),true__dfg),true__dfg),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(363,axiom,
~ equal(s5(c),true__dfg),
file('SYN214-10.p',unknown),
[] ).
cnf(502,plain,
equal(ifeq(true__dfg,true__dfg,k1(e),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4,40]),
[iquote('0:SpR:4.0,40.0')] ).
cnf(512,plain,
equal(k1(e),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,502]),
[iquote('0:Rew:1.0,502.0')] ).
cnf(513,plain,
equal(ifeq(n2(u),true__dfg,ifeq(true__dfg,true__dfg,p2(u,u,u),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[512,210]),
[iquote('0:Rew:512.0,210.0')] ).
cnf(523,plain,
equal(ifeq(n2(u),true__dfg,p2(u,u,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,513]),
[iquote('0:Rew:1.0,513.0')] ).
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(1248,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(k0(u),true__dfg,q2(v,u,u),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1235,213]),
[iquote('0:Rew:1235.0,213.0')] ).
cnf(1259,plain,
equal(ifeq(k0(u),true__dfg,q2(v,u,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1248]),
[iquote('0:Rew:1.0,1248.0')] ).
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(1284,plain,
equal(ifeq(true__dfg,true__dfg,p2(u,u,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1278,523]),
[iquote('0:Rew:1278.0,523.0')] ).
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(1320,plain,
equal(p2(u,u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1284]),
[iquote('0:Rew:1.0,1284.0')] ).
cnf(1389,plain,
equal(ifeq(true__dfg,true__dfg,l4(u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1298,310]),
[iquote('0:SpR:1298.0,310.0')] ).
cnf(1396,plain,
equal(l4(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1389]),
[iquote('0:Rew:1.0,1389.0')] ).
cnf(1399,plain,
equal(ifeq(r4(u),true__dfg,ifeq(true__dfg,true__dfg,s5(v),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1396,361]),
[iquote('0:Rew:1396.0,361.0')] ).
cnf(1406,plain,
equal(ifeq(r4(u),true__dfg,s5(v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1399]),
[iquote('0:Rew:1.0,1399.0')] ).
cnf(1415,plain,
equal(ifeq(true__dfg,true__dfg,n3(u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1320,274]),
[iquote('0:SpR:1320.0,274.0')] ).
cnf(1417,plain,
equal(n3(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1415]),
[iquote('0:Rew:1.0,1415.0')] ).
cnf(1423,plain,
equal(ifeq(q3(u,v),true__dfg,ifeq(true__dfg,true__dfg,ifeq(p0(w,x),true__dfg,r4(x),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1417,330]),
[iquote('0:Rew:1417.0,330.0')] ).
cnf(1427,plain,
equal(ifeq(q3(u,v),true__dfg,ifeq(p0(w,x),true__dfg,r4(x),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1423]),
[iquote('0:Rew:1.0,1423.0')] ).
cnf(1516,plain,
equal(ifeq(true__dfg,true__dfg,q2(u,b,b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[33,1259]),
[iquote('0:SpR:33.0,1259.0')] ).
cnf(1518,plain,
equal(q2(u,b,b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1516]),
[iquote('0:Rew:1.0,1516.0')] ).
cnf(2278,plain,
equal(ifeq(q3(u,v),true__dfg,ifeq(true__dfg,true__dfg,r4(w),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[15,1427]),
[iquote('0:SpR:15.0,1427.0')] ).
cnf(2280,plain,
equal(ifeq(q3(u,v),true__dfg,r4(w),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2278]),
[iquote('0:Rew:1.0,2278.0')] ).
cnf(3877,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(n0(u,b),true__dfg,q3(b,b),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1518,289]),
[iquote('0:SpR:1518.0,289.0')] ).
cnf(3880,plain,
equal(ifeq(n0(u,b),true__dfg,q3(b,b),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3877]),
[iquote('0:Rew:1.0,3877.0')] ).
cnf(3968,plain,
equal(ifeq(true__dfg,true__dfg,q3(b,b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[16,3880]),
[iquote('0:SpR:16.0,3880.0')] ).
cnf(3971,plain,
equal(q3(b,b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3968]),
[iquote('0:Rew:1.0,3968.0')] ).
cnf(4015,plain,
equal(ifeq(true__dfg,true__dfg,r4(u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3971,2280]),
[iquote('0:SpR:3971.0,2280.0')] ).
cnf(4021,plain,
equal(r4(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4015]),
[iquote('0:Rew:1.0,4015.0')] ).
cnf(4026,plain,
equal(ifeq(true__dfg,true__dfg,s5(u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[4021,1406]),
[iquote('0:Rew:4021.0,1406.0')] ).
cnf(4027,plain,
equal(s5(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4026]),
[iquote('0:Rew:1.0,4026.0')] ).
cnf(4028,plain,
$false,
inference(unc,[status(thm)],[4027,363]),
[iquote('0:UnC:4027.0,363.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN214-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n016.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 23:51:58 EDT 2022
% 0.14/0.34 % CPUTime :
% 1.20/1.40
% 1.20/1.40 SPASS V 3.9
% 1.20/1.40 SPASS beiseite: Proof found.
% 1.20/1.40 % SZS status Theorem
% 1.20/1.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.20/1.40 SPASS derived 2580 clauses, backtracked 0 clauses, performed 0 splits and kept 935 clauses.
% 1.20/1.40 SPASS allocated 66820 KBytes.
% 1.20/1.40 SPASS spent 0:00:01.02 on the problem.
% 1.20/1.40 0:00:00.04 for the input.
% 1.20/1.40 0:00:00.00 for the FLOTTER CNF translation.
% 1.20/1.40 0:00:00.06 for inferences.
% 1.20/1.40 0:00:00.00 for the backtracking.
% 1.20/1.40 0:00:00.83 for the reduction.
% 1.20/1.40
% 1.20/1.40
% 1.20/1.40 Here is a proof with depth 4, length 52 :
% 1.20/1.40 % SZS output start Refutation
% See solution above
% 1.20/1.40 Formulae used in the proof : ifeq_axiom axiom_3 axiom_14 axiom_15 axiom_32 rule_001 rule_085 rule_137 rule_174 rule_177 rule_240 rule_244 rule_255 rule_277 rule_298 rule_329 prove_this
% 1.20/1.40
%------------------------------------------------------------------------------