TSTP Solution File: SYN143-10 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 12:19:00 EDT 2022
% Result : Unsatisfiable 4.65s 4.86s
% Output : Refutation 4.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 30
% Syntax : Number of clauses : 101 ( 101 unt; 0 nHn; 101 RR)
% Number of literals : 101 ( 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 : 31 ( 31 usr; 10 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('SYN143-10.p',unknown),
[] ).
cnf(6,axiom,
equal(s0(b),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(15,axiom,
equal(p0(b,u),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(18,axiom,
equal(q0(u,d),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(20,axiom,
equal(m0(u,d,v),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(21,axiom,
equal(l0(a),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(25,axiom,
equal(l0(c),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(29,axiom,
equal(k0(e),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(33,axiom,
equal(k0(b),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(35,axiom,
equal(n0(c,d),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(38,axiom,
equal(n0(b,a),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(41,axiom,
equal(ifeq(n0(u,v),true__dfg,l1(v,v),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(88,axiom,
equal(ifeq(l0(u),true__dfg,ifeq(p0(b,v),true__dfg,ifeq(s0(b),true__dfg,n1(u,v,u),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(92,axiom,
equal(ifeq(n1(u,v,u),true__dfg,ifeq(l0(w),true__dfg,ifeq(l1(w,u),true__dfg,n1(u,v,v),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(107,axiom,
equal(ifeq(p0(u,v),true__dfg,p1(v,v,u),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(109,axiom,
equal(ifeq(p1(u,v,w),true__dfg,ifeq(l0(x),true__dfg,ifeq(s0(b),true__dfg,p1(w,u,w),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(122,axiom,
equal(ifeq(p0(u,v),true__dfg,p1(v,v,v),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(162,axiom,
equal(ifeq(p0(u,u),true__dfg,s1(u),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(163,axiom,
equal(ifeq(s1(u),true__dfg,ifeq(q0(v,w),true__dfg,s1(v),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(169,axiom,
equal(ifeq(s1(u),true__dfg,ifeq(p0(v,v),true__dfg,ifeq(m0(w,u,x),true__dfg,l2(x,x),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(173,axiom,
equal(ifeq(p1(u,v,w),true__dfg,n2(w),true__dfg),true__dfg),
file('SYN143-10.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('SYN143-10.p',unknown),
[] ).
cnf(218,axiom,
equal(ifeq(q2(u,v,w),true__dfg,ifeq(p1(w,w,v),true__dfg,ifeq(n1(u,w,v),true__dfg,q2(w,u,w),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(225,axiom,
equal(ifeq(q2(b,u,b),true__dfg,ifeq(s1(b),true__dfg,s2(u),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(278,axiom,
equal(ifeq(n2(u),true__dfg,p3(u,u,u),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(307,axiom,
equal(ifeq(s2(u),true__dfg,ifeq(q2(v,u,v),true__dfg,ifeq(m0(v,w,x),true__dfg,s3(u,x),true__dfg),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(312,axiom,
equal(ifeq(s3(a,u),true__dfg,ifeq(l2(v,w),true__dfg,m4(u,w),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(331,axiom,
equal(ifeq(p3(u,v,w),true__dfg,ifeq(l1(x,v),true__dfg,s4(x),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(337,axiom,
equal(ifeq(s4(u),true__dfg,ifeq(m4(e,e),true__dfg,m5(u,u),true__dfg),true__dfg),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(363,axiom,
~ equal(m5(d,d),true__dfg),
file('SYN143-10.p',unknown),
[] ).
cnf(401,plain,
equal(ifeq(l0(u),true__dfg,n1(u,v,u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,88,15,6]),
[iquote('0:Rew:1.0,88.0,15.0,88.0,1.0,88.0,6.0,88.0')] ).
cnf(406,plain,
equal(ifeq(p1(u,v,w),true__dfg,ifeq(l0(x),true__dfg,p1(w,u,w),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,109,6]),
[iquote('0:Rew:1.0,109.0,6.0,109.0')] ).
cnf(481,plain,
equal(ifeq(true__dfg,true__dfg,s1(b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[15,162]),
[iquote('0:SpR:15.0,162.0')] ).
cnf(482,plain,
equal(s1(b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,481]),
[iquote('0:Rew:1.0,481.0')] ).
cnf(483,plain,
equal(ifeq(q2(b,u,b),true__dfg,ifeq(true__dfg,true__dfg,s2(u),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[482,225]),
[iquote('0:Rew:482.0,225.0')] ).
cnf(484,plain,
equal(ifeq(q2(b,u,b),true__dfg,s2(u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,483]),
[iquote('0:Rew:1.0,483.0')] ).
cnf(739,plain,
equal(ifeq(true__dfg,true__dfg,l1(a,a),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[38,41]),
[iquote('0:SpR:38.0,41.0')] ).
cnf(740,plain,
equal(ifeq(true__dfg,true__dfg,l1(d,d),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[35,41]),
[iquote('0:SpR:35.0,41.0')] ).
cnf(747,plain,
equal(l1(a,a),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,739]),
[iquote('0:Rew:1.0,739.0')] ).
cnf(748,plain,
equal(l1(d,d),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,740]),
[iquote('0:Rew:1.0,740.0')] ).
cnf(774,plain,
equal(ifeq(true__dfg,true__dfg,n1(a,u,a),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[21,401]),
[iquote('0:SpR:21.0,401.0')] ).
cnf(777,plain,
equal(n1(a,u,a),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,774]),
[iquote('0:Rew:1.0,774.0')] ).
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(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(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(1517,plain,
equal(ifeq(true__dfg,true__dfg,q2(u,e,e),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[29,1259]),
[iquote('0:SpR:29.0,1259.0')] ).
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(1519,plain,
equal(q2(u,e,e),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1517]),
[iquote('0:Rew:1.0,1517.0')] ).
cnf(1601,plain,
equal(ifeq(true__dfg,true__dfg,p1(u,u,b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[15,107]),
[iquote('0:SpR:15.0,107.0')] ).
cnf(1603,plain,
equal(p1(u,u,b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,1601]),
[iquote('0:Rew:1.0,1601.0')] ).
cnf(2044,plain,
equal(ifeq(s1(u),true__dfg,ifeq(true__dfg,true__dfg,s1(v),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[18,163]),
[iquote('0:SpR:18.0,163.0')] ).
cnf(2051,plain,
equal(ifeq(s1(u),true__dfg,s1(v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2044]),
[iquote('0:Rew:1.0,2044.0')] ).
cnf(2058,plain,
equal(ifeq(true__dfg,true__dfg,s1(u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[482,2051]),
[iquote('0:SpR:482.0,2051.0')] ).
cnf(2059,plain,
equal(s1(u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2058]),
[iquote('0:Rew:1.0,2058.0')] ).
cnf(2073,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(p0(u,u),true__dfg,ifeq(m0(v,w,x),true__dfg,l2(x,x),true__dfg),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[2059,169]),
[iquote('0:Rew:2059.0,169.0')] ).
cnf(2085,plain,
equal(ifeq(p0(u,u),true__dfg,ifeq(m0(v,w,x),true__dfg,l2(x,x),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2073]),
[iquote('0:Rew:1.0,2073.0')] ).
cnf(2994,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(l1(u,v),true__dfg,s4(u),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1298,331]),
[iquote('0:SpR:1298.0,331.0')] ).
cnf(2995,plain,
equal(ifeq(l1(u,v),true__dfg,s4(u),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,2994]),
[iquote('0:Rew:1.0,2994.0')] ).
cnf(3050,plain,
equal(ifeq(true__dfg,true__dfg,s4(d),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[748,2995]),
[iquote('0:SpR:748.0,2995.0')] ).
cnf(3057,plain,
equal(s4(d),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3050]),
[iquote('0:Rew:1.0,3050.0')] ).
cnf(3133,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(m4(e,e),true__dfg,m5(d,d),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[3057,337]),
[iquote('0:SpR:3057.0,337.0')] ).
cnf(3141,plain,
equal(ifeq(m4(e,e),true__dfg,m5(d,d),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,3133]),
[iquote('0:Rew:1.0,3133.0')] ).
cnf(4276,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(l0(u),true__dfg,p1(b,v,b),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1603,406]),
[iquote('0:SpR:1603.0,406.0')] ).
cnf(4286,plain,
equal(ifeq(l0(u),true__dfg,p1(b,v,b),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4276]),
[iquote('0:Rew:1.0,4276.0')] ).
cnf(4432,plain,
equal(ifeq(p0(u,u),true__dfg,ifeq(true__dfg,true__dfg,l2(v,v),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[20,2085]),
[iquote('0:SpR:20.0,2085.0')] ).
cnf(4441,plain,
equal(ifeq(p0(u,u),true__dfg,l2(v,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4432]),
[iquote('0:Rew:1.0,4432.0')] ).
cnf(4553,plain,
equal(ifeq(true__dfg,true__dfg,p1(b,u,b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[25,4286]),
[iquote('0:SpR:25.0,4286.0')] ).
cnf(4555,plain,
equal(p1(b,u,b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4553]),
[iquote('0:Rew:1.0,4553.0')] ).
cnf(4654,plain,
equal(ifeq(true__dfg,true__dfg,l2(u,u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[15,4441]),
[iquote('0:SpR:15.0,4441.0')] ).
cnf(4655,plain,
equal(l2(u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4654]),
[iquote('0:Rew:1.0,4654.0')] ).
cnf(4787,plain,
equal(ifeq(s3(a,u),true__dfg,ifeq(true__dfg,true__dfg,m4(u,v),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[4655,312]),
[iquote('0:SpR:4655.0,312.0')] ).
cnf(4800,plain,
equal(ifeq(s3(a,u),true__dfg,m4(u,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,4787]),
[iquote('0:Rew:1.0,4787.0')] ).
cnf(7073,plain,
equal(ifeq(n1(a,u,a),true__dfg,ifeq(l0(a),true__dfg,ifeq(true__dfg,true__dfg,n1(a,u,u),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[747,92]),
[iquote('0:SpR:747.0,92.0')] ).
cnf(7108,plain,
equal(n1(a,u,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,7073,777,21]),
[iquote('0:Rew:1.0,7073.0,777.0,7073.0,1.0,7073.0,21.0,7073.0,1.0,7073.0')] ).
cnf(7920,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(p1(b,b,b),true__dfg,ifeq(n1(u,b,b),true__dfg,q2(b,u,b),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1518,218]),
[iquote('0:SpR:1518.0,218.0')] ).
cnf(7921,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(p1(e,e,e),true__dfg,ifeq(n1(u,e,e),true__dfg,q2(e,u,e),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[1519,218]),
[iquote('0:SpR:1519.0,218.0')] ).
cnf(7952,plain,
equal(ifeq(n1(u,e,e),true__dfg,q2(e,u,e),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,7921,1235]),
[iquote('0:Rew:1.0,7921.0,1.0,7921.0,1235.0,7921.0')] ).
cnf(7953,plain,
equal(ifeq(n1(u,b,b),true__dfg,q2(b,u,b),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,7920,4555]),
[iquote('0:Rew:1.0,7920.0,1.0,7920.0,4555.0,7920.0')] ).
cnf(9576,plain,
equal(ifeq(true__dfg,true__dfg,q2(e,a,e),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[7108,7952]),
[iquote('0:SpR:7108.0,7952.0')] ).
cnf(9581,plain,
equal(q2(e,a,e),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,9576]),
[iquote('0:Rew:1.0,9576.0')] ).
cnf(9586,plain,
equal(ifeq(s2(a),true__dfg,ifeq(true__dfg,true__dfg,ifeq(m0(e,u,v),true__dfg,s3(a,v),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[9581,307]),
[iquote('0:SpR:9581.0,307.0')] ).
cnf(9595,plain,
equal(ifeq(s2(a),true__dfg,ifeq(m0(e,u,v),true__dfg,s3(a,v),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,9586]),
[iquote('0:Rew:1.0,9586.0')] ).
cnf(9675,plain,
equal(ifeq(true__dfg,true__dfg,q2(b,a,b),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[7108,7953]),
[iquote('0:SpR:7108.0,7953.0')] ).
cnf(9678,plain,
equal(q2(b,a,b),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,9675]),
[iquote('0:Rew:1.0,9675.0')] ).
cnf(9681,plain,
equal(ifeq(true__dfg,true__dfg,s2(a),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[9678,484]),
[iquote('0:SpR:9678.0,484.0')] ).
cnf(9692,plain,
equal(s2(a),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,9681]),
[iquote('0:Rew:1.0,9681.0')] ).
cnf(9695,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(m0(e,u,v),true__dfg,s3(a,v),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[9692,9595]),
[iquote('0:Rew:9692.0,9595.0')] ).
cnf(9702,plain,
equal(ifeq(m0(e,u,v),true__dfg,s3(a,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,9695]),
[iquote('0:Rew:1.0,9695.0')] ).
cnf(10253,plain,
equal(ifeq(true__dfg,true__dfg,s3(a,u),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[20,9702]),
[iquote('0:SpR:20.0,9702.0')] ).
cnf(10255,plain,
equal(s3(a,u),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,10253]),
[iquote('0:Rew:1.0,10253.0')] ).
cnf(10258,plain,
equal(ifeq(true__dfg,true__dfg,m4(u,v),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[10255,4800]),
[iquote('0:Rew:10255.0,4800.0')] ).
cnf(10261,plain,
equal(m4(u,v),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,10258]),
[iquote('0:Rew:1.0,10258.0')] ).
cnf(10270,plain,
equal(ifeq(true__dfg,true__dfg,m5(d,d),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[10261,3141]),
[iquote('0:Rew:10261.0,3141.0')] ).
cnf(10281,plain,
equal(m5(d,d),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,10270]),
[iquote('0:Rew:1.0,10270.0')] ).
cnf(10282,plain,
$false,
inference(mrr,[status(thm)],[10281,363]),
[iquote('0:MRR:10281.0,363.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN143-10 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 12 02:35:02 EDT 2022
% 0.13/0.33 % CPUTime :
% 4.65/4.86
% 4.65/4.86 SPASS V 3.9
% 4.65/4.86 SPASS beiseite: Proof found.
% 4.65/4.86 % SZS status Theorem
% 4.65/4.86 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.65/4.86 SPASS derived 6620 clauses, backtracked 0 clauses, performed 0 splits and kept 1732 clauses.
% 4.65/4.86 SPASS allocated 72090 KBytes.
% 4.65/4.86 SPASS spent 0:00:04.51 on the problem.
% 4.65/4.86 0:00:00.05 for the input.
% 4.65/4.86 0:00:00.00 for the FLOTTER CNF translation.
% 4.65/4.86 0:00:00.19 for inferences.
% 4.65/4.86 0:00:00.00 for the backtracking.
% 4.65/4.86 0:00:04.13 for the reduction.
% 4.65/4.86
% 4.65/4.86
% 4.65/4.86 Here is a proof with depth 5, length 101 :
% 4.65/4.86 % SZS output start Refutation
% See solution above
% 4.81/4.98 Formulae used in the proof : ifeq_axiom axiom_5 axiom_14 axiom_17 axiom_19 axiom_20 axiom_24 axiom_28 axiom_32 axiom_34 axiom_37 rule_002 rule_050 rule_054 rule_069 rule_071 rule_085 rule_125 rule_126 rule_133 rule_137 rule_177 rule_182 rule_189 rule_244 rule_273 rule_279 rule_299 rule_305 prove_this
% 4.81/4.98
%------------------------------------------------------------------------------