TSTP Solution File: GEO025-2 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n018.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 : Sun May 5 05:14:11 EDT 2024
% Result : Unsatisfiable 15.83s 2.69s
% Output : Refutation 15.83s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 11
% Syntax : Number of formulae : 35 ( 29 unt; 0 def)
% Number of atoms : 56 ( 6 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 45 ( 24 ~; 20 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-6 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-4 aty)
% Number of variables : 49 ( 49 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f127489,plain,
$false,
inference(subsumption_resolution,[],[f127488,f60]) ).
fof(f60,plain,
~ equidistant(w,u,w1,u1),
inference(unit_resulting_resolution,[],[f1,f36,f2]) ).
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_for_equidistance) ).
fof(f36,plain,
~ equidistant(w1,u1,u,w),
inference(unit_resulting_resolution,[],[f23,f1,f2]) ).
fof(f23,axiom,
~ equidistant(u,w,u1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_equal_sums) ).
fof(f1,axiom,
! [X0,X1] : equidistant(X0,X1,X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_for_equidistance) ).
fof(f127488,plain,
equidistant(w,u,w1,u1),
inference(forward_demodulation,[],[f127272,f126869]) ).
fof(f126869,plain,
u1 = v1,
inference(unit_resulting_resolution,[],[f21,f99,f30,f87,f27460,f25]) ).
fof(f25,plain,
! [X3,X0,X1,X8,X6,X9,X7] :
( ~ sP0(X3,X9,X0,X8,X1,X7)
| ~ between(X6,X7,X8)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X0,X1,X6,X7)
| X0 = X1 ),
inference(general_splitting,[],[f6,f24_D]) ).
fof(f24,plain,
! [X2,X3,X0,X1,X8,X9,X7] :
( ~ equidistant(X1,X2,X7,X8)
| ~ between(X0,X1,X2)
| equidistant(X2,X3,X8,X9)
| sP0(X3,X9,X0,X8,X1,X7) ),
inference(cnf_transformation,[],[f24_D]) ).
fof(f24_D,plain,
! [X7,X1,X8,X0,X9,X3] :
( ! [X2] :
( ~ equidistant(X1,X2,X7,X8)
| ~ between(X0,X1,X2)
| equidistant(X2,X3,X8,X9) )
<=> ~ sP0(X3,X9,X0,X8,X1,X7) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f6,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7] :
( X0 = X1
| ~ between(X6,X7,X8)
| ~ between(X0,X1,X2)
| ~ equidistant(X1,X3,X7,X9)
| ~ equidistant(X0,X3,X6,X9)
| ~ equidistant(X1,X2,X7,X8)
| ~ equidistant(X0,X1,X6,X7)
| equidistant(X2,X3,X8,X9) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',outer_five_segment) ).
fof(f27460,plain,
sP0(u1,u,u1,w,v1,v),
inference(unit_resulting_resolution,[],[f22,f64,f104,f24]) ).
fof(f104,plain,
equidistant(v1,w1,v,w),
inference(unit_resulting_resolution,[],[f1,f44,f2]) ).
fof(f44,plain,
equidistant(w,v,v1,w1),
inference(unit_resulting_resolution,[],[f20,f1,f2]) ).
fof(f20,axiom,
equidistant(v,w,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_to_w_equals_v1_to_w1) ).
fof(f64,plain,
~ equidistant(w1,u1,w,u),
inference(unit_resulting_resolution,[],[f1,f42,f2]) ).
fof(f42,plain,
~ equidistant(w,u,u1,w1),
inference(unit_resulting_resolution,[],[f23,f1,f2]) ).
fof(f22,axiom,
between(u1,v1,w1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v1_between_u1_and_w1) ).
fof(f87,plain,
equidistant(v1,u1,v,u),
inference(unit_resulting_resolution,[],[f1,f39,f2]) ).
fof(f39,plain,
equidistant(u1,v1,v,u),
inference(unit_resulting_resolution,[],[f1,f19,f2]) ).
fof(f19,axiom,
equidistant(u,v,u1,v1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_u1_to_v1) ).
fof(f30,plain,
! [X2,X1] : equidistant(X1,X1,X2,X2),
inference(superposition,[],[f5,f28]) ).
fof(f28,plain,
! [X2,X0,X1] : extension(X0,X1,X2,X2) = X1,
inference(unit_resulting_resolution,[],[f5,f3]) ).
fof(f3,axiom,
! [X2,X0,X1] :
( ~ equidistant(X0,X1,X2,X2)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity_for_equidistance) ).
fof(f5,axiom,
! [X3,X0,X1,X5] : equidistant(X1,extension(X0,X1,X5,X3),X5,X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment_construction2) ).
fof(f99,plain,
equidistant(u1,v1,u,v),
inference(unit_resulting_resolution,[],[f1,f43,f2]) ).
fof(f43,plain,
equidistant(v,u,u1,v1),
inference(unit_resulting_resolution,[],[f19,f1,f2]) ).
fof(f21,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f127272,plain,
equidistant(w,u,w1,v1),
inference(superposition,[],[f94,f126866]) ).
fof(f126866,plain,
u = v,
inference(unit_resulting_resolution,[],[f22,f19,f30,f89,f26690,f25]) ).
fof(f26690,plain,
sP0(u,u1,u,w1,v,v1),
inference(unit_resulting_resolution,[],[f21,f60,f20,f24]) ).
fof(f89,plain,
equidistant(v,u,v1,u1),
inference(unit_resulting_resolution,[],[f1,f39,f2]) ).
fof(f94,plain,
equidistant(w,v,w1,v1),
inference(unit_resulting_resolution,[],[f1,f41,f2]) ).
fof(f41,plain,
equidistant(v1,w1,w,v),
inference(unit_resulting_resolution,[],[f1,f20,f2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO025-2 : TPTP v8.1.2. Released v1.0.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n018.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri May 3 22:04:53 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (6755)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37 % (6758)WARNING: value z3 for option sas not known
% 0.14/0.37 % (6760)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.14/0.37 % (6756)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.14/0.37 % (6757)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.14/0.37 % (6758)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37 % (6762)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.14/0.37 % (6761)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.14/0.37 % (6759)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.14/0.37 TRYING [1]
% 0.14/0.37 TRYING [2]
% 0.14/0.38 TRYING [3]
% 0.14/0.38 TRYING [1]
% 0.14/0.39 TRYING [2]
% 0.20/0.44 TRYING [4]
% 0.20/0.47 TRYING [3]
% 3.00/0.82 TRYING [5]
% 3.67/0.89 TRYING [4]
% 7.93/1.47 TRYING [1]
% 7.93/1.47 TRYING [2]
% 7.93/1.47 TRYING [3]
% 8.23/1.51 TRYING [4]
% 12.45/2.13 TRYING [5]
% 15.83/2.68 % (6762)First to succeed.
% 15.83/2.68 % (6762)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-6755"
% 15.83/2.69 % (6762)Refutation found. Thanks to Tanya!
% 15.83/2.69 % SZS status Unsatisfiable for theBenchmark
% 15.83/2.69 % SZS output start Proof for theBenchmark
% See solution above
% 15.83/2.69 % (6762)------------------------------
% 15.83/2.69 % (6762)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.83/2.69 % (6762)Termination reason: Refutation
% 15.83/2.69
% 15.83/2.69 % (6762)Memory used [KB]: 49471
% 15.83/2.69 % (6762)Time elapsed: 2.310 s
% 15.83/2.69 % (6762)Instructions burned: 9225 (million)
% 15.83/2.69 % (6755)Success in time 2.275 s
%------------------------------------------------------------------------------