TSTP Solution File: PUZ131-10 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Mon Jul 18 18:27:33 EDT 2022
% Result : Unsatisfiable 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% 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 : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(ifeq(u,u,v,w),v),
file('PUZ131-10.p',unknown),
[] ).
cnf(5,axiom,
equal(student(michael),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(6,axiom,
equal(professor(victor),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(7,axiom,
equal(course(csc410),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(17,axiom,
equal(ifeq(course(u),true__dfg,teaches(coordinatorof(u),u),true__dfg),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(18,axiom,
equal(ifeq(teaches(u,v),true__dfg,ifeq(enrolled(w,v),true__dfg,ifeq(course(v),true__dfg,ifeq(professor(u),true__dfg,ifeq(student(w),true__dfg,taughtby(w,u),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(19,axiom,
equal(enrolled(michael,csc410),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(20,axiom,
equal(coordinatorof(csc410),victor),
file('PUZ131-10.p',unknown),
[] ).
cnf(21,axiom,
~ equal(taughtby(michael,victor),true__dfg),
file('PUZ131-10.p',unknown),
[] ).
cnf(153,plain,
equal(ifeq(course(csc410),true__dfg,teaches(victor,csc410),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[20,17]),
[iquote('0:SpR:20.0,17.0')] ).
cnf(162,plain,
equal(teaches(victor,csc410),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,153,7]),
[iquote('0:Rew:1.0,153.0,7.0,153.0')] ).
cnf(394,plain,
equal(ifeq(teaches(u,csc410),true__dfg,ifeq(true__dfg,true__dfg,ifeq(course(csc410),true__dfg,ifeq(professor(u),true__dfg,ifeq(student(michael),true__dfg,taughtby(michael,u),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[19,18]),
[iquote('0:SpR:19.0,18.0')] ).
cnf(404,plain,
equal(ifeq(teaches(u,csc410),true__dfg,ifeq(professor(u),true__dfg,taughtby(michael,u),true__dfg),true__dfg),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,394,7,5]),
[iquote('0:Rew:1.0,394.0,1.0,394.0,7.0,394.0,1.0,394.0,5.0,394.0')] ).
cnf(487,plain,
equal(ifeq(true__dfg,true__dfg,ifeq(professor(victor),true__dfg,taughtby(michael,victor),true__dfg),true__dfg),true__dfg),
inference(spr,[status(thm),theory(equality)],[162,404]),
[iquote('0:SpR:162.0,404.0')] ).
cnf(489,plain,
equal(taughtby(michael,victor),true__dfg),
inference(rew,[status(thm),theory(equality)],[1,487,6]),
[iquote('0:Rew:1.0,487.0,1.0,487.0,6.0,487.0')] ).
cnf(490,plain,
$false,
inference(mrr,[status(thm)],[489,21]),
[iquote('0:MRR:489.0,21.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ131-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 : Sun May 29 01:53:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 271 clauses, backtracked 0 clauses, performed 0 splits and kept 192 clauses.
% 0.18/0.49 SPASS allocated 63814 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.00 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.07 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 2, length 16 :
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 Formulae used in the proof : ifeq_axiom michael_type victor_type csc410_type coordinator_teaches student_enrolled_taught michael_enrolled_csc410_axiom victor_coordinator_csc410_axiom teaching_conjecture
% 0.18/0.49
%------------------------------------------------------------------------------