TSTP Solution File: CSR018+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 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 : Fri Jul 15 23:24:14 EDT 2022
% Result : Theorem 0.84s 1.06s
% Output : Refutation 0.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 22
% Syntax : Number of clauses : 58 ( 12 unt; 13 nHn; 58 RR)
% Number of literals : 151 ( 0 equ; 92 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 10 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ holdsAt(backwards,n2),
file('CSR018+1.p',unknown),
[] ).
cnf(2,axiom,
~ less(u,n0),
file('CSR018+1.p',unknown),
[] ).
cnf(7,axiom,
~ equal(pull,push),
file('CSR018+1.p',unknown),
[] ).
cnf(15,axiom,
equal(plus(n1,n1),n2),
file('CSR018+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ less(u,v)
| less_or_equal(u,v) ),
file('CSR018+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ equal(u,v)
| less_or_equal(u,v) ),
file('CSR018+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ less_or_equal(u,n0)
| less(u,n1) ),
file('CSR018+1.p',unknown),
[] ).
cnf(28,axiom,
( ~ less_or_equal(u,n1)
| less(u,n2) ),
file('CSR018+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ skP8(u,v)
| happens(v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ skP7(u,v)
| equal(u,n0) ),
file('CSR018+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ skP8(u,v)
| equal(v,pull) ),
file('CSR018+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ less(u,v)
| ~ less(v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ less(u,v)
| ~ equal(v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(67,axiom,
( less(u,v)
| equal(v,u)
| less(v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(69,axiom,
( ~ skP1(u,v,w)
| initiates(w,v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(88,axiom,
( ~ equal(u,pull)
| ~ equal(v,n1)
| skP8(v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(89,axiom,
( ~ happens(u,v)
| skP8(v,u)
| skP7(v,u)
| equal(v,n2) ),
file('CSR018+1.p',unknown),
[] ).
cnf(94,axiom,
( ~ happens(u,v)
| ~ initiates(u,w,v)
| holdsAt(w,plus(v,n1)) ),
file('CSR018+1.p',unknown),
[] ).
cnf(99,axiom,
( ~ happens(u,v)
| ~ holdsAt(w,plus(v,n1))
| ~ terminates(u,w,v) ),
file('CSR018+1.p',unknown),
[] ).
cnf(103,axiom,
( ~ equal(u,pull)
| ~ equal(v,backwards)
| happens(push,w)
| skP1(w,v,u) ),
file('CSR018+1.p',unknown),
[] ).
cnf(104,axiom,
( ~ equal(u,spinning)
| ~ equal(v,pull)
| happens(push,w)
| terminates(v,u,w) ),
file('CSR018+1.p',unknown),
[] ).
cnf(111,axiom,
( ~ equal(u,spinning)
| ~ equal(v,pull)
| ~ happens(push,w)
| initiates(v,u,w) ),
file('CSR018+1.p',unknown),
[] ).
cnf(188,plain,
( ~ less_or_equal(u,n0)
| ~ equal(n1,u) ),
inference(res,[status(thm),theory(equality)],[26,50]),
[iquote('0:Res:26.1,50.0')] ).
cnf(198,plain,
( ~ less_or_equal(u,n1)
| ~ less(n2,u) ),
inference(res,[status(thm),theory(equality)],[28,49]),
[iquote('0:Res:28.1,49.0')] ).
cnf(348,plain,
( equal(n0,u)
| less(n0,u) ),
inference(res,[status(thm),theory(equality)],[67,2]),
[iquote('0:Res:67.0,2.0')] ).
cnf(402,plain,
( equal(n0,u)
| less_or_equal(n0,u) ),
inference(res,[status(thm),theory(equality)],[348,23]),
[iquote('0:Res:348.1,23.0')] ).
cnf(409,plain,
less_or_equal(n0,u),
inference(mrr,[status(thm)],[402,24]),
[iquote('0:MRR:402.0,24.0')] ).
cnf(419,plain,
~ equal(n1,n0),
inference(res,[status(thm),theory(equality)],[409,188]),
[iquote('0:Res:409.0,188.0')] ).
cnf(445,plain,
( ~ less_or_equal(n2,n1)
| ~ less_or_equal(n2,n1) ),
inference(res,[status(thm),theory(equality)],[28,198]),
[iquote('0:Res:28.1,198.1')] ).
cnf(449,plain,
~ less_or_equal(n2,n1),
inference(obv,[status(thm),theory(equality)],[445]),
[iquote('0:Obv:445.0')] ).
cnf(451,plain,
~ equal(n2,n1),
inference(res,[status(thm),theory(equality)],[24,449]),
[iquote('0:Res:24.1,449.0')] ).
cnf(528,plain,
( ~ equal(u,pull)
| ~ equal(v,n1)
| happens(u,v) ),
inference(res,[status(thm),theory(equality)],[88,44]),
[iquote('0:Res:88.2,44.0')] ).
cnf(691,plain,
( ~ happens(u,v)
| skP7(v,u)
| equal(v,n2)
| equal(u,pull) ),
inference(res,[status(thm),theory(equality)],[89,47]),
[iquote('0:Res:89.1,47.0')] ).
cnf(763,plain,
( ~ equal(u,pull)
| ~ equal(v,backwards)
| happens(push,w)
| initiates(u,v,w) ),
inference(res,[status(thm),theory(equality)],[103,69]),
[iquote('0:Res:103.3,69.0')] ).
cnf(835,plain,
( ~ happens(u,n1)
| ~ holdsAt(v,n2)
| ~ terminates(u,v,n1) ),
inference(spl,[status(thm),theory(equality)],[15,99]),
[iquote('0:SpL:15.0,99.1')] ).
cnf(1374,plain,
( ~ equal(u,spinning)
| ~ equal(v,pull)
| ~ happens(push,w)
| ~ happens(v,w)
| holdsAt(u,plus(w,n1)) ),
inference(res,[status(thm),theory(equality)],[111,94]),
[iquote('0:Res:111.3,94.1')] ).
cnf(6593,plain,
( ~ equal(u,spinning)
| ~ equal(v,pull)
| ~ happens(v,n1)
| ~ holdsAt(u,n2)
| happens(push,n1) ),
inference(res,[status(thm),theory(equality)],[104,835]),
[iquote('0:Res:104.3,835.2')] ).
cnf(6818,plain,
( ~ happens(u,v)
| equal(v,n2)
| equal(u,pull)
| equal(v,n0) ),
inference(res,[status(thm),theory(equality)],[691,46]),
[iquote('0:Res:691.1,46.0')] ).
cnf(7925,plain,
( ~ equal(u,pull)
| ~ equal(v,backwards)
| ~ happens(u,w)
| happens(push,w)
| holdsAt(v,plus(w,n1)) ),
inference(res,[status(thm),theory(equality)],[763,94]),
[iquote('0:Res:763.3,94.1')] ).
cnf(9632,plain,
( ~ equal(u,pull)
| ~ happens(push,v)
| ~ happens(u,v)
| holdsAt(spinning,plus(v,n1)) ),
inference(eqr,[status(thm),theory(equality)],[1374]),
[iquote('0:EqR:1374.0')] ).
cnf(10455,plain,
( ~ happens(push,u)
| ~ happens(pull,u)
| holdsAt(spinning,plus(u,n1)) ),
inference(eqr,[status(thm),theory(equality)],[9632]),
[iquote('0:EqR:9632.0')] ).
cnf(10456,plain,
( ~ happens(push,n1)
| ~ happens(pull,n1)
| holdsAt(spinning,n2) ),
inference(spr,[status(thm),theory(equality)],[15,10455]),
[iquote('0:SpR:15.0,10455.2')] ).
cnf(10486,plain,
( ~ equal(pull,pull)
| ~ equal(n1,n1)
| ~ happens(push,n1)
| holdsAt(spinning,n2) ),
inference(res,[status(thm),theory(equality)],[528,10456]),
[iquote('0:Res:528.2,10456.1')] ).
cnf(10488,plain,
( ~ happens(push,n1)
| holdsAt(spinning,n2) ),
inference(obv,[status(thm),theory(equality)],[10486]),
[iquote('0:Obv:10486.1')] ).
cnf(11243,plain,
( ~ equal(u,pull)
| ~ happens(u,n1)
| ~ holdsAt(spinning,n2)
| happens(push,n1) ),
inference(eqr,[status(thm),theory(equality)],[6593]),
[iquote('0:EqR:6593.0')] ).
cnf(11244,plain,
( ~ happens(pull,n1)
| ~ holdsAt(spinning,n2)
| happens(push,n1) ),
inference(eqr,[status(thm),theory(equality)],[11243]),
[iquote('0:EqR:11243.0')] ).
cnf(11248,plain,
( ~ equal(pull,pull)
| ~ equal(n1,n1)
| ~ holdsAt(spinning,n2)
| happens(push,n1) ),
inference(res,[status(thm),theory(equality)],[528,11244]),
[iquote('0:Res:528.2,11244.0')] ).
cnf(11250,plain,
( ~ holdsAt(spinning,n2)
| happens(push,n1) ),
inference(obv,[status(thm),theory(equality)],[11248]),
[iquote('0:Obv:11248.1')] ).
cnf(11253,plain,
( ~ holdsAt(spinning,n2)
| equal(n2,n1)
| equal(pull,push)
| equal(n1,n0) ),
inference(res,[status(thm),theory(equality)],[11250,6818]),
[iquote('0:Res:11250.1,6818.0')] ).
cnf(11256,plain,
~ holdsAt(spinning,n2),
inference(mrr,[status(thm)],[11253,451,7,419]),
[iquote('0:MRR:11253.1,11253.2,11253.3,451.0,7.0,419.0')] ).
cnf(11257,plain,
~ happens(push,n1),
inference(mrr,[status(thm)],[10488,11256]),
[iquote('0:MRR:10488.1,11256.0')] ).
cnf(11998,plain,
( ~ equal(u,backwards)
| ~ happens(pull,v)
| happens(push,v)
| holdsAt(u,plus(v,n1)) ),
inference(eqr,[status(thm),theory(equality)],[7925]),
[iquote('0:EqR:7925.0')] ).
cnf(11999,plain,
( ~ equal(u,backwards)
| ~ happens(pull,n1)
| happens(push,n1)
| holdsAt(u,n2) ),
inference(spr,[status(thm),theory(equality)],[15,11998]),
[iquote('0:SpR:15.0,11998.3')] ).
cnf(12019,plain,
( ~ equal(u,backwards)
| ~ happens(pull,n1)
| holdsAt(u,n2) ),
inference(mrr,[status(thm)],[11999,11257]),
[iquote('0:MRR:11999.2,11257.0')] ).
cnf(12028,plain,
( ~ happens(pull,n1)
| holdsAt(backwards,n2) ),
inference(eqr,[status(thm),theory(equality)],[12019]),
[iquote('0:EqR:12019.0')] ).
cnf(12029,plain,
~ happens(pull,n1),
inference(mrr,[status(thm)],[12028,1]),
[iquote('0:MRR:12028.1,1.0')] ).
cnf(12035,plain,
( ~ equal(pull,pull)
| ~ equal(n1,n1) ),
inference(res,[status(thm),theory(equality)],[528,12029]),
[iquote('0:Res:528.2,12029.0')] ).
cnf(12037,plain,
$false,
inference(obv,[status(thm),theory(equality)],[12035]),
[iquote('0:Obv:12035.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : CSR018+1 : TPTP v8.1.0. Bugfixed v3.1.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 11 05:35:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.84/1.06
% 0.84/1.06 SPASS V 3.9
% 0.84/1.06 SPASS beiseite: Proof found.
% 0.84/1.06 % SZS status Theorem
% 0.84/1.06 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.84/1.06 SPASS derived 10960 clauses, backtracked 16 clauses, performed 10 splits and kept 1041 clauses.
% 0.84/1.06 SPASS allocated 91261 KBytes.
% 0.84/1.06 SPASS spent 0:00:00.64 on the problem.
% 0.84/1.06 0:00:00.04 for the input.
% 0.84/1.06 0:00:00.08 for the FLOTTER CNF translation.
% 0.84/1.06 0:00:00.09 for inferences.
% 0.84/1.06 0:00:00.00 for the backtracking.
% 0.84/1.06 0:00:00.39 for the reduction.
% 0.84/1.06
% 0.84/1.06
% 0.84/1.06 Here is a proof with depth 6, length 58 :
% 0.84/1.06 % SZS output start Refutation
% See solution above
% 0.84/1.06 Formulae used in the proof : backwards_2 less0 push_not_pull plus1_1 less_or_equal less1 less2 happens_all_defn less_property initiates_all_defn happens_holds happens_terminates_not_holds terminates_all_defn
% 0.84/1.06
%------------------------------------------------------------------------------