TSTP Solution File: PUZ040-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : PUZ040-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n025.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 : 300s
% DateTime : Tue Apr 30 14:45:04 EDT 2024
% Result : Unsatisfiable 0.14s 0.34s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 14
% Syntax : Number of formulae : 34 ( 22 unt; 0 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 25 ( 13 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-12 aty)
% Number of functors : 14 ( 14 usr; 1 con; 0-2 aty)
% Number of variables : 155 ( 155 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f260,plain,
$false,
inference(subsumption_resolution,[],[f258,f43]) ).
fof(f43,axiom,
! [X2,X3,X10,X11,X1,X8,X9,X4,X15,X5,X12] : ~ state(bb(o,o),X1,X2,X3,X4,X5,X12,X8,X9,X10,X15,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goal_state) ).
fof(f258,plain,
state(bb(o,o),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,s(s(o))),e2(s(o),s(s(o)))),
inference(resolution,[],[f257,f38]) ).
fof(f38,axiom,
! [X2,X3,X10,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ state(bb(X6,s(X7)),X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,X7),e2(s(X6),X7))
| state(bb(X6,X7),X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,s(s(X7))),e2(s(X6),s(s(X7)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_left) ).
fof(f257,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(o),o)),
inference(resolution,[],[f253,f41]) ).
fof(f41,axiom,
! [X2,X3,X10,X0,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ state(X0,X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,X7),e2(X13,X14))
| state(X0,X1,X2,X3,X4,X5,X12,X8,X9,X10,e1(X13,X14),e2(X6,X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',swap_blanks) ).
fof(f253,plain,
state(bb(o,s(o)),v1(s(s(o)),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(o),o),e2(o,o)),
inference(resolution,[],[f251,f19]) ).
fof(f19,axiom,
! [X2,X3,X10,X0,X11,X8,X6,X9,X7,X4,X5,X12] :
( ~ state(X0,v1(X6,X7),X2,X3,X4,X5,X12,X8,X9,X10,e1(s(s(X6)),X7),X11)
| state(X0,v1(s(X6),X7),X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_down) ).
fof(f251,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(s(o)))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(o,o)),
inference(resolution,[],[f250,f3]) ).
fof(f3,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_down) ).
fof(f250,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(o,o)),
inference(resolution,[],[f245,f41]) ).
fof(f245,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f243,f19]) ).
fof(f243,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f238,f3]) ).
fof(f238,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),s(o)),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),o),e2(s(s(s(s(o)))),o)),
inference(resolution,[],[f199,f25]) ).
fof(f25,axiom,
! [X2,X10,X0,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ state(X0,X1,X2,v3(X6,X7),X4,X5,X12,X8,X9,X10,e1(X6,s(X7)),e2(s(X6),s(X7)))
| state(X0,X1,X2,v3(X6,s(X7)),X4,X5,X12,X8,X9,X10,e1(X6,X7),e2(s(X6),X7)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_right) ).
fof(f199,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(o)),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f173,f12]) ).
fof(f12,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X7,X4,X5,X12] :
( ~ state(X0,X1,X2,X3,X4,X5,X12,X8,s3(s(X6),X7),X10,e1(X6,X7),X11)
| state(X0,X1,X2,X3,X4,X5,X12,X8,s3(X6,X7),X10,e1(s(X6),X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s3_up) ).
fof(f173,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),o),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f89,f2]) ).
fof(f2,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(X6,s(X7)),X8,X9,X10,e1(X6,X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(X6,s(X7)),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_left) ).
fof(f89,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f78,f20]) ).
fof(f20,axiom,
! [X2,X3,X10,X0,X11,X8,X6,X9,X7,X4,X5,X12] :
( ~ state(X0,v1(s(X6),X7),X2,X3,X4,X5,X12,X8,X9,X10,e1(X6,X7),X11)
| state(X0,v1(X6,X7),X2,X3,X4,X5,X12,X8,X9,X10,e1(s(s(X6)),X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_up) ).
fof(f78,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(o))),
inference(resolution,[],[f69,f41]) ).
fof(f69,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(o))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(o)),e2(o,o)),
inference(resolution,[],[f63,f12]) ).
fof(f63,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(o)),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(o))),s(o)),e2(o,o)),
inference(resolution,[],[f58,f4]) ).
fof(f4,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ state(X0,X1,X2,X3,X4,X5,s1(s(X6),X7),X8,X9,X10,e1(X6,X7),X11)
| state(X0,X1,X2,X3,X4,X5,s1(X6,X7),X8,X9,X10,e1(s(X6),X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_up) ).
fof(f58,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(s(o))),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(o)),e2(o,o)),
inference(resolution,[],[f53,f33]) ).
fof(f33,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X12] :
( ~ state(X0,X1,X2,X3,X4,h(X6,X7),X12,X8,X9,X10,e1(X6,s(s(X7))),X11)
| state(X0,X1,X2,X3,X4,h(X6,s(X7)),X12,X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',h_right) ).
fof(f53,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(s(o))),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),s(s(s(o)))),e2(o,o)),
inference(resolution,[],[f52,f31]) ).
fof(f31,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X5,X12] :
( ~ state(X0,X1,X2,X3,v4(X6,X7),X5,X12,X8,X9,X10,e1(s(s(X6)),X7),X11)
| state(X0,X1,X2,X3,v4(s(X6),X7),X5,X12,X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v4_down) ).
fof(f52,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),s(s(s(o)))),e2(o,o)),
inference(resolution,[],[f47,f41]) ).
fof(f47,plain,
state(bb(o,s(o)),v1(s(o),o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(o,o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[],[f44,f19]) ).
fof(f44,plain,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(s(o))),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(o)),o),e2(s(s(s(s(o)))),s(s(s(o))))),
inference(resolution,[],[f42,f27]) ).
fof(f27,axiom,
! [X2,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ state(X0,X1,X2,v3(X6,X7),X4,X5,X12,X8,X9,X10,e1(s(s(X6)),X7),X11)
| state(X0,X1,X2,v3(s(X6),X7),X4,X5,X12,X8,X9,X10,e1(X6,X7),X11) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v3_down) ).
fof(f42,axiom,
state(bb(o,s(o)),v1(o,o),v2(o,s(s(s(o)))),v3(s(s(o)),o),v4(s(s(o)),s(s(s(o)))),h(s(s(o)),s(o)),s1(s(s(s(o))),s(o)),s2(s(s(s(o))),s(s(o))),s3(s(s(s(s(o)))),s(o)),s4(s(s(s(s(o)))),s(s(o))),e1(s(s(s(s(o)))),o),e2(s(s(s(s(o)))),s(s(s(o))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',initial_state) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : PUZ040-1 : TPTP v8.1.2. Bugfixed v2.6.0.
% 0.09/0.10 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.30 % Computer : n025.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Tue Apr 30 02:16:11 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.10/0.30 % (30415)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.32 % (30422)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (30419)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.32 % (30416)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.32 % (30421)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.32 % (30417)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.32 % (30420)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.32 % (30418)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.33 % (30420)First to succeed.
% 0.14/0.34 TRYING [1]
% 0.14/0.34 TRYING [1]
% 0.14/0.34 % (30420)Refutation found. Thanks to Tanya!
% 0.14/0.34 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.34 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.34 % (30420)------------------------------
% 0.14/0.34 % (30420)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.14/0.34 % (30420)Termination reason: Refutation
% 0.14/0.34
% 0.14/0.34 % (30420)Memory used [KB]: 910
% 0.14/0.34 % (30420)Time elapsed: 0.019 s
% 0.14/0.34 % (30420)Instructions burned: 40 (million)
% 0.14/0.34 % (30420)------------------------------
% 0.14/0.34 % (30420)------------------------------
% 0.14/0.34 % (30415)Success in time 0.035 s
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