TSTP Solution File: GRP040-3 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP040-3 : 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 : n015.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 11:50:59 EDT 2024
% Result : Unsatisfiable 0.22s 0.52s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 19
% Syntax : Number of formulae : 52 ( 39 unt; 0 def)
% Number of atoms : 80 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 26 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 65 ( 65 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10248,plain,
$false,
inference(subsumption_resolution,[],[f10247,f12]) ).
fof(f12,axiom,
~ subgroup_member(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_in_subgroup) ).
fof(f10247,plain,
subgroup_member(a),
inference(forward_demodulation,[],[f10246,f5051]) ).
fof(f5051,plain,
a = multiply(inverse(c),b),
inference(unit_resulting_resolution,[],[f4903,f69]) ).
fof(f69,plain,
! [X2,X0,X1] :
( ~ product(X1,X2,X0)
| multiply(X1,X2) = X0 ),
inference(resolution,[],[f6,f5]) ).
fof(f5,axiom,
! [X0,X1] : product(X0,X1,multiply(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',total_function1) ).
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(f4903,plain,
product(inverse(c),b,a),
inference(unit_resulting_resolution,[],[f3,f4652,f21]) ).
fof(f21,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP1(X4,X3,X5,X1)
| product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f7,f20_D]) ).
fof(f20,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| sP1(X4,X3,X5,X1) ),
inference(cnf_transformation,[],[f20_D]) ).
fof(f20_D,plain,
! [X1,X5,X3,X4] :
( ! [X2] :
( ~ product(X4,X2,X3)
| ~ product(X1,X2,X5) )
<=> ~ sP1(X4,X3,X5,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP1])]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X4,X2,X3)
| ~ product(X1,X2,X5)
| product(X0,X5,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity1) ).
fof(f4652,plain,
sP1(identity,a,b,c),
inference(unit_resulting_resolution,[],[f1,f4612,f20]) ).
fof(f4612,plain,
product(c,a,b),
inference(forward_demodulation,[],[f4611,f17]) ).
fof(f17,axiom,
! [X6] : inverse(inverse(X6)) = X6,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_inverse_is_self_cancelling) ).
fof(f4611,plain,
product(c,inverse(inverse(a)),b),
inference(unit_resulting_resolution,[],[f4,f2414,f18]) ).
fof(f18,plain,
! [X2,X3,X1,X4,X5] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3)
| sP0(X5,X4,X3,X1) ),
inference(cnf_transformation,[],[f18_D]) ).
fof(f18_D,plain,
! [X1,X3,X4,X5] :
( ! [X2] :
( ~ product(X1,X2,X5)
| product(X4,X2,X3) )
<=> ~ sP0(X5,X4,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2414,plain,
~ sP0(identity,c,b,inverse(a)),
inference(unit_resulting_resolution,[],[f15,f2,f19]) ).
fof(f19,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP0(X5,X4,X3,X1)
| ~ product(X0,X5,X3)
| ~ product(X0,X1,X4) ),
inference(general_splitting,[],[f8,f18_D]) ).
fof(f8,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ product(X0,X1,X4)
| ~ product(X0,X5,X3)
| ~ product(X1,X2,X5)
| product(X4,X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity2) ).
fof(f2,axiom,
! [X0] : product(X0,identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_identity) ).
fof(f15,axiom,
product(b,inverse(a),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f4,axiom,
! [X0] : product(X0,inverse(X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f1,axiom,
! [X0] : product(identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_identity) ).
fof(f3,axiom,
! [X0] : product(inverse(X0),X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f10246,plain,
subgroup_member(multiply(inverse(c),b)),
inference(forward_demodulation,[],[f10210,f17]) ).
fof(f10210,plain,
subgroup_member(multiply(inverse(c),inverse(inverse(b)))),
inference(unit_resulting_resolution,[],[f337,f5,f9797,f9]) ).
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(f9797,plain,
subgroup_member(inverse(c)),
inference(superposition,[],[f334,f9615]) ).
fof(f9615,plain,
c = element_in_O2(a,d),
inference(unit_resulting_resolution,[],[f1,f7180,f6]) ).
fof(f7180,plain,
product(identity,element_in_O2(a,d),c),
inference(unit_resulting_resolution,[],[f30,f7177,f18]) ).
fof(f7177,plain,
~ sP0(d,identity,c,a),
inference(forward_demodulation,[],[f7106,f17]) ).
fof(f7106,plain,
~ sP0(d,identity,c,inverse(inverse(a))),
inference(unit_resulting_resolution,[],[f4,f3987,f19]) ).
fof(f3987,plain,
product(inverse(a),d,c),
inference(unit_resulting_resolution,[],[f3,f3047,f21]) ).
fof(f3047,plain,
sP1(identity,c,d,a),
inference(unit_resulting_resolution,[],[f16,f1,f20]) ).
fof(f16,axiom,
product(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f30,plain,
product(a,element_in_O2(a,d),d),
inference(unit_resulting_resolution,[],[f12,f14,f11]) ).
fof(f11,axiom,
! [X6,X7] :
( product(X6,element_in_O2(X6,X7),X7)
| subgroup_member(X7)
| subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',property_of_O2) ).
fof(f14,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d_in_subgroup) ).
fof(f334,plain,
subgroup_member(inverse(element_in_O2(a,d))),
inference(forward_demodulation,[],[f328,f53]) ).
fof(f53,plain,
! [X0] : multiply(identity,X0) = X0,
inference(unit_resulting_resolution,[],[f5,f1,f6]) ).
fof(f328,plain,
subgroup_member(multiply(identity,inverse(element_in_O2(a,d)))),
inference(unit_resulting_resolution,[],[f26,f5,f279,f9]) ).
fof(f279,plain,
subgroup_member(identity),
inference(forward_demodulation,[],[f270,f40]) ).
fof(f40,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(unit_resulting_resolution,[],[f4,f5,f6]) ).
fof(f270,plain,
subgroup_member(multiply(element_in_O2(d,d),inverse(element_in_O2(d,d)))),
inference(unit_resulting_resolution,[],[f27,f27,f5,f9]) ).
fof(f27,plain,
subgroup_member(element_in_O2(d,d)),
inference(unit_resulting_resolution,[],[f14,f14,f10]) ).
fof(f10,axiom,
! [X6,X7] :
( subgroup_member(element_in_O2(X6,X7))
| subgroup_member(X7)
| subgroup_member(X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f26,plain,
subgroup_member(element_in_O2(a,d)),
inference(unit_resulting_resolution,[],[f12,f14,f10]) ).
fof(f337,plain,
subgroup_member(inverse(b)),
inference(forward_demodulation,[],[f325,f53]) ).
fof(f325,plain,
subgroup_member(multiply(identity,inverse(b))),
inference(unit_resulting_resolution,[],[f13,f5,f279,f9]) ).
fof(f13,axiom,
subgroup_member(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b_is_in_subgroup) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP040-3 : TPTP v8.1.2. Released v1.0.0.
% 0.12/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n015.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 04:54:18 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.36 % (13644)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (13649)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)
% 0.15/0.37 % (13647)WARNING: value z3 for option sas not known
% 0.15/0.37 % (13645)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (13646)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (13648)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (13647)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)
% 0.15/0.37 % (13650)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)
% 0.15/0.37 % (13651)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)
% 0.15/0.37 TRYING [1]
% 0.15/0.37 TRYING [2]
% 0.15/0.38 TRYING [3]
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 TRYING [4]
% 0.15/0.38 TRYING [3]
% 0.15/0.39 TRYING [5]
% 0.15/0.40 TRYING [4]
% 0.15/0.42 TRYING [6]
% 0.22/0.44 TRYING [5]
% 0.22/0.51 TRYING [7]
% 0.22/0.51 % (13651)First to succeed.
% 0.22/0.52 % (13651)Refutation found. Thanks to Tanya!
% 0.22/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.22/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.52 % (13651)------------------------------
% 0.22/0.52 % (13651)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.22/0.52 % (13651)Termination reason: Refutation
% 0.22/0.52
% 0.22/0.52 % (13651)Memory used [KB]: 3241
% 0.22/0.52 % (13651)Time elapsed: 0.142 s
% 0.22/0.52 % (13651)Instructions burned: 297 (million)
% 0.22/0.52 % (13651)------------------------------
% 0.22/0.52 % (13651)------------------------------
% 0.22/0.52 % (13644)Success in time 0.158 s
%------------------------------------------------------------------------------