TSTP Solution File: SYN351-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN351-1 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 12:20:39 EDT 2022
% Result : Satisfiable 0.20s 0.40s
% Output : Saturation 0.20s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 189)
% Comments :
%------------------------------------------------------------------------------
cnf(191,plain,
( ~ f(a,b,a,z__dfg(b,u))
| f(a,b,a,u)
| f(a,z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)))
| f(a,b,a,z__dfg(a,z__dfg(b,z__dfg(b,u)))) ),
inference(res,[status(thm),theory(equality)],[83,119]),
[iquote('0:Res:83.2,119.0')] ).
cnf(192,plain,
( ~ f(a,b,a,z__dfg(b,u))
| f(a,b,a,u)
| f(a,z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)))
| f(b,b,b,z__dfg(a,z__dfg(b,z__dfg(b,u)))) ),
inference(res,[status(thm),theory(equality)],[83,101]),
[iquote('0:Res:83.2,101.0')] ).
cnf(156,plain,
( ~ f(a,a,a,z__dfg(a,u))
| f(a,a,a,u)
| f(a,z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)))
| f(b,b,b,z__dfg(a,z__dfg(a,z__dfg(a,u)))) ),
inference(res,[status(thm),theory(equality)],[62,101]),
[iquote('0:Res:62.2,101.0')] ).
cnf(193,plain,
( ~ f(a,b,a,z__dfg(b,u))
| f(a,b,a,u)
| f(a,z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)),z__dfg(b,z__dfg(b,u)))
| f(a,a,a,z__dfg(a,z__dfg(b,z__dfg(b,u)))) ),
inference(res,[status(thm),theory(equality)],[83,57]),
[iquote('0:Res:83.2,57.0')] ).
cnf(367,plain,
f(a,b,b,b),
inference(spt,[],[189]),
[iquote('2:Spt:189.0')] ).
cnf(146,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(a,b,a,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[59,119]),
[iquote('0:Res:59.2,119.0')] ).
cnf(135,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(b,b,b,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[59,101]),
[iquote('0:Res:59.2,101.0')] ).
cnf(76,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(a,a,a,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[59,57]),
[iquote('0:Res:59.2,57.0')] ).
cnf(155,plain,
( ~ f(a,a,a,z__dfg(a,u))
| f(a,a,a,u)
| f(a,z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)))
| f(a,b,a,z__dfg(a,z__dfg(a,z__dfg(a,u)))) ),
inference(res,[status(thm),theory(equality)],[62,119]),
[iquote('0:Res:62.2,119.0')] ).
cnf(145,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(a,b,a,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[78,119]),
[iquote('0:Res:78.2,119.0')] ).
cnf(134,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(b,b,b,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[78,101]),
[iquote('0:Res:78.2,101.0')] ).
cnf(112,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(b,b,b,z__dfg(a,u))
| f(b,b,b,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[93,49]),
[iquote('0:Res:93.0,49.0')] ).
cnf(113,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,b,a,z__dfg(a,u))
| f(b,b,b,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[88,49]),
[iquote('0:Res:88.0,49.0')] ).
cnf(89,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(a,z__dfg(a,u),z__dfg(a,u),z__dfg(a,u))
| f(a,a,a,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[78,57]),
[iquote('0:Res:78.2,57.0')] ).
cnf(114,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,a,a,z__dfg(a,u))
| f(b,b,b,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[78,49]),
[iquote('0:Res:78.0,49.0')] ).
cnf(95,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(b,b,b,z__dfg(a,u))
| f(a,b,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[93,40]),
[iquote('0:Res:93.0,40.0')] ).
cnf(96,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(b,b,b,z__dfg(a,u))
| f(a,a,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[93,41]),
[iquote('0:Res:93.0,41.0')] ).
cnf(90,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,b,a,z__dfg(a,u))
| f(a,b,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[88,40]),
[iquote('0:Res:88.0,40.0')] ).
cnf(157,plain,
( ~ f(a,a,a,z__dfg(a,u))
| f(a,a,a,u)
| f(a,z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)),z__dfg(a,z__dfg(a,u)))
| f(a,a,a,z__dfg(a,z__dfg(a,z__dfg(a,u)))) ),
inference(res,[status(thm),theory(equality)],[62,57]),
[iquote('0:Res:62.2,57.0')] ).
cnf(91,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,b,a,z__dfg(a,u))
| f(a,a,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[88,41]),
[iquote('0:Res:88.0,41.0')] ).
cnf(85,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,a,a,z__dfg(a,u))
| f(a,b,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[78,40]),
[iquote('0:Res:78.0,40.0')] ).
cnf(86,plain,
( ~ f(a,b,a,u)
| f(a,u,u,u)
| f(a,a,a,z__dfg(a,u))
| f(a,a,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[78,41]),
[iquote('0:Res:78.0,41.0')] ).
cnf(125,plain,
( ~ f(a,u,a,z__dfg(u,v))
| f(a,v,u,v)
| f(u,b,u,z__dfg(u,z__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[6,49]),
[iquote('0:Res:6.1,49.0')] ).
cnf(124,plain,
( ~ f(a,u,a,z__dfg(u,v))
| f(a,u,a,v)
| f(u,b,u,z__dfg(u,z__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[4,49]),
[iquote('0:Res:4.1,49.0')] ).
cnf(107,plain,
( ~ f(a,a,a,z__dfg(a,u))
| f(a,u,a,u)
| f(b,b,b,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.1,45.0')] ).
cnf(84,plain,
( ~ f(a,b,a,z__dfg(b,u))
| f(a,u,b,u)
| f(a,a,a,z__dfg(b,z__dfg(b,u))) ),
inference(res,[status(thm),theory(equality)],[6,41]),
[iquote('0:Res:6.1,41.0')] ).
cnf(106,plain,
( ~ f(a,a,a,z__dfg(a,u))
| f(a,a,a,u)
| f(b,b,b,z__dfg(a,z__dfg(a,u))) ),
inference(res,[status(thm),theory(equality)],[4,45]),
[iquote('0:Res:4.1,45.0')] ).
cnf(180,plain,
( f(a,u,u,u)
| f(u,b,u,z__dfg(u,z__dfg(u,u))) ),
inference(res,[status(thm),theory(equality)],[167,3]),
[iquote('0:Res:167.1,3.0')] ).
cnf(83,plain,
( ~ f(a,b,a,z__dfg(b,u))
| f(a,b,a,u)
| f(a,a,a,z__dfg(b,z__dfg(b,u))) ),
inference(res,[status(thm),theory(equality)],[4,41]),
[iquote('0:Res:4.1,41.0')] ).
cnf(167,plain,
( f(a,u,u,u)
| f(a,u,a,z__dfg(u,z__dfg(u,u))) ),
inference(res,[status(thm),theory(equality)],[1,63]),
[iquote('0:Res:1.0,63.0')] ).
cnf(176,plain,
f(a,a,b,a),
inference(spt,[],[173]),
[iquote('1:Spt:173.0')] ).
cnf(63,plain,
( ~ f(a,u,a,z__dfg(u,v))
| f(a,v,u,v)
| f(a,u,a,z__dfg(u,z__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[6,40]),
[iquote('0:Res:6.1,40.0')] ).
cnf(139,plain,
( f(a,z__dfg(u,a),z__dfg(u,a),z__dfg(u,a))
| f(a,b,a,z__dfg(a,z__dfg(u,a))) ),
inference(res,[status(thm),theory(equality)],[1,119]),
[iquote('0:Res:1.0,119.0')] ).
cnf(144,plain,
( f(a,z__dfg(u,b),z__dfg(u,b),z__dfg(u,b))
| f(a,b,a,z__dfg(a,z__dfg(u,b))) ),
inference(res,[status(thm),theory(equality)],[9,119]),
[iquote('0:Res:9.0,119.0')] ).
cnf(128,plain,
( f(a,z__dfg(u,a),z__dfg(u,a),z__dfg(u,a))
| f(b,b,b,z__dfg(a,z__dfg(u,a))) ),
inference(res,[status(thm),theory(equality)],[1,101]),
[iquote('0:Res:1.0,101.0')] ).
cnf(133,plain,
( f(a,z__dfg(u,b),z__dfg(u,b),z__dfg(u,b))
| f(b,b,b,z__dfg(a,z__dfg(u,b))) ),
inference(res,[status(thm),theory(equality)],[9,101]),
[iquote('0:Res:9.0,101.0')] ).
cnf(62,plain,
( ~ f(a,u,a,z__dfg(u,v))
| f(a,u,a,v)
| f(a,u,a,z__dfg(u,z__dfg(u,v))) ),
inference(res,[status(thm),theory(equality)],[4,40]),
[iquote('0:Res:4.1,40.0')] ).
cnf(70,plain,
( f(a,z__dfg(u,a),z__dfg(u,a),z__dfg(u,a))
| f(a,a,a,z__dfg(a,z__dfg(u,a))) ),
inference(res,[status(thm),theory(equality)],[1,57]),
[iquote('0:Res:1.0,57.0')] ).
cnf(75,plain,
( f(a,z__dfg(u,b),z__dfg(u,b),z__dfg(u,b))
| f(a,a,a,z__dfg(a,z__dfg(u,b))) ),
inference(res,[status(thm),theory(equality)],[9,57]),
[iquote('0:Res:9.0,57.0')] ).
cnf(119,plain,
( ~ f(a,a,a,u)
| f(a,u,u,u)
| f(a,b,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[5,49]),
[iquote('0:Res:5.1,49.0')] ).
cnf(101,plain,
( ~ f(a,a,a,u)
| f(a,u,u,u)
| f(b,b,b,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[5,45]),
[iquote('0:Res:5.1,45.0')] ).
cnf(49,plain,
( ~ f(a,u,v,u)
| ~ f(a,v,a,u)
| f(v,b,v,z__dfg(v,u)) ),
inference(res,[status(thm),theory(equality)],[13,7]),
[iquote('0:Res:13.0,7.2')] ).
cnf(45,plain,
( ~ f(a,u,a,u)
| ~ f(a,a,a,u)
| f(b,b,b,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[33,7]),
[iquote('0:Res:33.1,7.2')] ).
cnf(93,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(b,b,b,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[88,3]),
[iquote('0:Res:88.2,3.0')] ).
cnf(88,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(a,b,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[78,3]),
[iquote('0:Res:78.2,3.0')] ).
cnf(78,plain,
( f(a,u,b,u)
| f(a,u,u,u)
| f(a,a,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[10,57]),
[iquote('0:Res:10.1,57.0')] ).
cnf(41,plain,
( ~ f(a,u,b,u)
| ~ f(a,b,a,u)
| f(a,a,a,z__dfg(b,u)) ),
inference(res,[status(thm),theory(equality)],[10,7]),
[iquote('0:Res:10.0,7.2')] ).
cnf(57,plain,
( ~ f(a,a,a,u)
| f(a,u,u,u)
| f(a,a,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[5,40]),
[iquote('0:Res:5.1,40.0')] ).
cnf(67,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(b,b,b,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[66,3]),
[iquote('0:Res:66.2,3.0')] ).
cnf(66,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(a,b,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[59,3]),
[iquote('0:Res:59.2,3.0')] ).
cnf(59,plain,
( ~ f(a,a,a,u)
| f(b,b,b,u)
| f(a,a,a,z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[33,40]),
[iquote('0:Res:33.1,40.0')] ).
cnf(40,plain,
( ~ f(a,u,v,u)
| ~ f(a,v,a,u)
| f(a,v,a,z__dfg(v,u)) ),
inference(res,[status(thm),theory(equality)],[5,7]),
[iquote('0:Res:5.0,7.2')] ).
cnf(30,plain,
( f(a,u,a,u)
| f(z__dfg(a,u),b,z__dfg(a,u),z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[6,3]),
[iquote('0:Res:6.1,3.0')] ).
cnf(21,plain,
( f(a,a,a,u)
| f(z__dfg(a,u),b,z__dfg(a,u),z__dfg(a,u)) ),
inference(res,[status(thm),theory(equality)],[4,3]),
[iquote('0:Res:4.1,3.0')] ).
cnf(13,plain,
( f(a,u,v,u)
| f(v,b,v,u) ),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.1,3.0')] ).
cnf(33,plain,
( f(b,b,b,u)
| f(a,u,a,u) ),
inference(res,[status(thm),theory(equality)],[28,2]),
[iquote('0:Res:28.0,2.0')] ).
cnf(7,axiom,
( ~ f(a,u,v,u)
| ~ f(a,v,a,u)
| ~ f(a,z__dfg(v,u),v,z__dfg(v,u)) ),
file('SYN351-1.p',unknown),
[] ).
cnf(38,plain,
f(a,a,a,b),
inference(res,[status(thm),theory(equality)],[36,2]),
[iquote('0:Res:36.0,2.0')] ).
cnf(36,plain,
f(a,b,a,b),
inference(res,[status(thm),theory(equality)],[31,2]),
[iquote('0:Res:31.0,2.0')] ).
cnf(31,plain,
f(b,b,b,b),
inference(fac,[status(thm)],[28]),
[iquote('0:Fac:28.0,28.1')] ).
cnf(28,plain,
( f(u,b,u,u)
| f(b,b,b,u) ),
inference(res,[status(thm),theory(equality)],[24,3]),
[iquote('0:Res:24.1,3.0')] ).
cnf(6,axiom,
( f(a,u,v,u)
| f(a,z__dfg(v,u),v,z__dfg(v,u)) ),
file('SYN351-1.p',unknown),
[] ).
cnf(24,plain,
( f(u,b,u,u)
| f(a,b,a,u) ),
inference(res,[status(thm),theory(equality)],[12,3]),
[iquote('0:Res:12.0,3.0')] ).
cnf(12,plain,
( f(a,a,a,u)
| f(u,b,u,u) ),
inference(res,[status(thm),theory(equality)],[5,3]),
[iquote('0:Res:5.0,3.0')] ).
cnf(10,plain,
( f(a,u,b,u)
| f(a,a,a,u) ),
inference(res,[status(thm),theory(equality)],[5,2]),
[iquote('0:Res:5.1,2.0')] ).
cnf(19,plain,
f(b,b,b,z__dfg(u,a)),
inference(res,[status(thm),theory(equality)],[11,3]),
[iquote('0:Res:11.0,3.0')] ).
cnf(4,axiom,
( f(a,u,a,v)
| f(a,z__dfg(u,v),u,z__dfg(u,v)) ),
file('SYN351-1.p',unknown),
[] ).
cnf(11,plain,
f(u,b,u,z__dfg(v,u)),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(9,plain,
f(a,a,a,z__dfg(u,b)),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.0')] ).
cnf(15,plain,
f(b,b,b,a),
inference(res,[status(thm),theory(equality)],[14,3]),
[iquote('0:Res:14.0,3.0')] ).
cnf(14,plain,
f(a,b,a,a),
inference(res,[status(thm),theory(equality)],[8,3]),
[iquote('0:Res:8.0,3.0')] ).
cnf(3,axiom,
( ~ f(a,u,a,v)
| f(u,b,u,v) ),
file('SYN351-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ f(u,b,u,v)
| f(a,u,a,v) ),
file('SYN351-1.p',unknown),
[] ).
cnf(8,plain,
f(a,a,a,a),
inference(fac,[status(thm)],[5]),
[iquote('0:Fac:5.0,5.1')] ).
cnf(5,axiom,
( f(a,u,v,u)
| f(a,v,a,u) ),
file('SYN351-1.p',unknown),
[] ).
cnf(1,axiom,
f(a,u,a,z__dfg(v,u)),
file('SYN351-1.p',unknown),
[] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN351-1 : TPTP v8.1.0. Released v1.2.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n026.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 : Mon Jul 11 21:58:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.40
% 0.20/0.40 SPASS V 3.9
% 0.20/0.40 SPASS beiseite: Completion found.
% 0.20/0.40 % SZS status CounterSatisfiable
% 0.20/0.40 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.40 SPASS derived 370 clauses, backtracked 0 clauses, performed 2 splits and kept 83 clauses.
% 0.20/0.40 SPASS allocated 63369 KBytes.
% 0.20/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.20/0.40 0:00:00.02 for the input.
% 0.20/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.40 0:00:00.00 for inferences.
% 0.20/0.40 0:00:00.00 for the backtracking.
% 0.20/0.40 0:00:00.01 for the reduction.
% 0.20/0.40
% 0.20/0.40
% 0.20/0.40 The saturated set of worked-off clauses is :
% 0.20/0.40 % SZS output start Saturation
% See solution above
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