%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR022+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 : Fri Jul 15 23:24:15 EDT 2022
% Result : Theorem 0.71s 0.88s
% Output : Refutation 0.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 5 unt; 2 nHn; 20 RR)
% Number of literals : 51 ( 0 equ; 37 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 10 ( 10 usr; 9 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
holdsAt(forwards,n3),
file('CSR022+1.p',unknown),
[] ).
cnf(16,axiom,
equal(plus(n1,n2),n3),
file('CSR022+1.p',unknown),
[] ).
cnf(22,axiom,
equal(plus(u,v),plus(v,u)),
file('CSR022+1.p',unknown),
[] ).
cnf(73,axiom,
( ~ skP3(u,v,w)
| terminates(w,v,u) ),
file('CSR022+1.p',unknown),
[] ).
cnf(74,axiom,
( ~ skP4(u,v,w)
| terminates(w,v,u) ),
file('CSR022+1.p',unknown),
[] ).
cnf(85,axiom,
( ~ equal(u,n2)
| ~ equal(v,pull)
| happens(v,u) ),
file('CSR022+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ happens(u,v)
| ~ holdsAt(w,plus(v,n1))
| ~ terminates(u,w,v) ),
file('CSR022+1.p',unknown),
[] ).
cnf(106,axiom,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| happens(push,w)
| skP3(w,v,u) ),
file('CSR022+1.p',unknown),
[] ).
cnf(112,axiom,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| ~ happens(push,w)
| skP4(w,v,u) ),
file('CSR022+1.p',unknown),
[] ).
cnf(743,plain,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| happens(push,w)
| terminates(u,v,w) ),
inference(res,[status(thm),theory(equality)],[106,73]),
[iquote('0:Res:106.3,73.0')] ).
cnf(840,plain,
( ~ happens(u,v)
| ~ holdsAt(w,plus(n1,v))
| ~ terminates(u,w,v) ),
inference(spl,[status(thm),theory(equality)],[22,99]),
[iquote('0:SpL:22.0,99.1')] ).
cnf(1333,plain,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| ~ happens(push,w)
| terminates(u,v,w) ),
inference(res,[status(thm),theory(equality)],[112,74]),
[iquote('0:Res:112.3,74.0')] ).
cnf(1337,plain,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| terminates(u,v,w) ),
inference(mrr,[status(thm)],[1333,743]),
[iquote('0:MRR:1333.2,743.2')] ).
cnf(7991,plain,
( ~ happens(u,n2)
| ~ holdsAt(v,n3)
| ~ terminates(u,v,n2) ),
inference(spl,[status(thm),theory(equality)],[16,840]),
[iquote('0:SpL:16.0,840.1')] ).
cnf(8024,plain,
( ~ equal(u,pull)
| ~ equal(v,forwards)
| ~ happens(u,n2)
| ~ holdsAt(v,n3) ),
inference(res,[status(thm),theory(equality)],[1337,7991]),
[iquote('0:Res:1337.2,7991.2')] ).
cnf(9212,plain,
( ~ equal(u,forwards)
| ~ happens(pull,n2)
| ~ holdsAt(u,n3) ),
inference(eqr,[status(thm),theory(equality)],[8024]),
[iquote('0:EqR:8024.0')] ).
cnf(9254,plain,
( ~ happens(pull,n2)
| ~ holdsAt(forwards,n3) ),
inference(eqr,[status(thm),theory(equality)],[9212]),
[iquote('0:EqR:9212.0')] ).
cnf(9255,plain,
~ happens(pull,n2),
inference(mrr,[status(thm)],[9254,1]),
[iquote('0:MRR:9254.1,1.0')] ).
cnf(9258,plain,
( ~ equal(n2,n2)
| ~ equal(pull,pull) ),
inference(res,[status(thm),theory(equality)],[85,9255]),
[iquote('0:Res:85.2,9255.0')] ).
cnf(9262,plain,
$false,
inference(obv,[status(thm),theory(equality)],[9258]),
[iquote('0:Obv:9258.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : CSR022+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 11 01:57:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.71/0.88
% 0.71/0.88 SPASS V 3.9
% 0.71/0.88 SPASS beiseite: Proof found.
% 0.71/0.88 % SZS status Theorem
% 0.71/0.88 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.71/0.88 SPASS derived 8416 clauses, backtracked 45 clauses, performed 16 splits and kept 911 clauses.
% 0.71/0.88 SPASS allocated 89444 KBytes.
% 0.71/0.88 SPASS spent 0:00:00.48 on the problem.
% 0.71/0.88 0:00:00.04 for the input.
% 0.71/0.88 0:00:00.09 for the FLOTTER CNF translation.
% 0.71/0.88 0:00:00.07 for inferences.
% 0.71/0.88 0:00:00.00 for the backtracking.
% 0.71/0.88 0:00:00.26 for the reduction.
% 0.71/0.88
% 0.71/0.88
% 0.71/0.88 Here is a proof with depth 6, length 20 :
% 0.71/0.88 % SZS output start Refutation
% See solution above
% 0.71/0.88 Formulae used in the proof : not_forwards_3 plus1_2 symmetry_of_plus terminates_all_defn happens_all_defn happens_terminates_not_holds
% 0.71/0.88
%------------------------------------------------------------------------------