TSTP Solution File: GRP035-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP035-3 : 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 : n011.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 05:52:26 EDT 2024
% Result : Unsatisfiable 0.15s 0.41s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 37 ( 16 unt; 0 def)
% Number of atoms : 71 ( 12 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 72 ( 38 ~; 34 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 55 ( 55 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f477,plain,
$false,
inference(subsumption_resolution,[],[f476,f11]) ).
fof(f11,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
fof(f476,plain,
~ subgroup_member(b),
inference(resolution,[],[f475,f32]) ).
fof(f32,plain,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
inference(global_subsumption,[],[f7,f8,f13,f10,f11,f12,f1,f2,f3,f4,f5,f6,f15,f16,f17,f18,f19,f21,f14,f24,f26,f9,f31,f28,f29]) ).
fof(f29,plain,
! [X0] :
( ~ subgroup_member(identity)
| subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f1]) ).
fof(f28,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,inverse(X1)))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(resolution,[],[f9,f5]) ).
fof(f31,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity) ),
inference(duplicate_literal_removal,[],[f27]) ).
fof(f27,plain,
! [X0] :
( ~ subgroup_member(X0)
| subgroup_member(identity)
| ~ subgroup_member(X0) ),
inference(resolution,[],[f9,f4]) ).
fof(f9,axiom,
! [X8,X6,X7] :
( ~ product(X6,inverse(X7),X8)
| ~ subgroup_member(X6)
| subgroup_member(X8)
| ~ subgroup_member(X7) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_product_and_inverse) ).
fof(f26,plain,
identity = inverse(identity),
inference(resolution,[],[f14,f3]) ).
fof(f24,plain,
! [X0] : multiply(X0,identity) = X0,
inference(resolution,[],[f14,f5]) ).
fof(f14,plain,
! [X0,X1] :
( ~ product(X1,identity,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f2]) ).
fof(f21,plain,
c = multiply(a,b),
inference(resolution,[],[f19,f5]) ).
fof(f19,plain,
! [X0] :
( ~ product(a,b,X0)
| c = X0 ),
inference(resolution,[],[f6,f12]) ).
fof(f18,plain,
! [X0,X1] :
( ~ product(inverse(X1),X1,X0)
| identity = X0 ),
inference(resolution,[],[f6,f3]) ).
fof(f17,plain,
! [X0,X1] :
( ~ product(identity,X1,X0)
| X0 = X1 ),
inference(resolution,[],[f6,f1]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f15,plain,
! [X0,X1] :
( ~ product(X1,inverse(X1),X0)
| identity = X0 ),
inference(resolution,[],[f6,f4]) ).
fof(f6,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X1,X3)
| X2 = X3
| ~ product(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function2) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f12,axiom,
product(a,b,c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_b_is_c) ).
fof(f10,axiom,
subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_is_in_subgroup) ).
fof(f13,axiom,
~ subgroup_member(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c_is_in_subgroup) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X1,X2,X5)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X0,X1,X4)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f475,plain,
~ subgroup_member(inverse(b)),
inference(subsumption_resolution,[],[f474,f10]) ).
fof(f474,plain,
( ~ subgroup_member(a)
| ~ subgroup_member(inverse(b)) ),
inference(subsumption_resolution,[],[f472,f13]) ).
fof(f472,plain,
( subgroup_member(c)
| ~ subgroup_member(a)
| ~ subgroup_member(inverse(b)) ),
inference(superposition,[],[f295,f21]) ).
fof(f295,plain,
! [X0,X1] :
( subgroup_member(multiply(X1,X0))
| ~ subgroup_member(X1)
| ~ subgroup_member(inverse(X0)) ),
inference(superposition,[],[f28,f285]) ).
fof(f285,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(resolution,[],[f273,f4]) ).
fof(f273,plain,
! [X0,X1] :
( ~ product(X0,X1,identity)
| inverse(X1) = X0 ),
inference(resolution,[],[f235,f14]) ).
fof(f235,plain,
! [X0,X1] :
( product(X0,identity,inverse(X1))
| ~ product(X0,X1,identity) ),
inference(resolution,[],[f64,f4]) ).
fof(f64,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X2,X3)
| ~ product(X0,X1,identity)
| product(X0,X3,X2) ),
inference(resolution,[],[f7,f1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP035-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n011.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 20:47:08 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (8384)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (8387)WARNING: value z3 for option sas not known
% 0.15/0.39 % (8386)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.39 % (8388)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.39 % (8385)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.39 % (8387)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)
% 0.15/0.39 % (8389)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)
% 0.15/0.39 % (8390)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)
% 0.15/0.39 % (8391)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [3]
% 0.15/0.40 TRYING [5]
% 0.15/0.40 % (8387)First to succeed.
% 0.15/0.40 % (8387)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-8384"
% 0.15/0.41 % (8387)Refutation found. Thanks to Tanya!
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.41 % (8387)------------------------------
% 0.15/0.41 % (8387)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.41 % (8387)Termination reason: Refutation
% 0.15/0.41
% 0.15/0.41 % (8387)Memory used [KB]: 940
% 0.15/0.41 % (8387)Time elapsed: 0.020 s
% 0.15/0.41 % (8387)Instructions burned: 26 (million)
% 0.15/0.41 % (8384)Success in time 0.037 s
%------------------------------------------------------------------------------