TSTP Solution File: GRP039-5 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n010.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 : Wed Aug 31 16:19:13 EDT 2022
% Result : Unsatisfiable 1.30s 0.53s
% Output : Refutation 1.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 19
% Syntax : Number of formulae : 69 ( 33 unt; 0 def)
% Number of atoms : 119 ( 37 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 84 ( 34 ~; 47 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 8 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f277,plain,
$false,
inference(avatar_sat_refutation,[],[f32,f55,f255,f257,f276]) ).
fof(f276,plain,
( ~ spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f275]) ).
fof(f275,plain,
( $false
| ~ spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f274,f30]) ).
fof(f30,plain,
( subgroup_member(a)
| ~ spl3_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f29,plain,
( spl3_2
<=> subgroup_member(a) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_2])]) ).
fof(f274,plain,
( ~ subgroup_member(a)
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f273,f54]) ).
fof(f54,plain,
( subgroup_member(c)
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f52]) ).
fof(f52,plain,
( spl3_3
<=> subgroup_member(c) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_3])]) ).
fof(f273,plain,
( ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(subsumption_resolution,[],[f47,f14]) ).
fof(f14,axiom,
~ subgroup_member(d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_d_in_O2) ).
fof(f47,plain,
( subgroup_member(d)
| ~ subgroup_member(c)
| ~ subgroup_member(a) ),
inference(superposition,[],[f15,f22]) ).
fof(f22,plain,
multiply(a,c) = d,
inference(forward_demodulation,[],[f19,f20]) ).
fof(f20,plain,
d = sF2,
inference(definition_folding,[],[f13,f19]) ).
fof(f13,axiom,
multiply(a,c) = d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_times_c_is_d) ).
fof(f19,plain,
multiply(a,c) = sF2,
introduced(function_definition,[]) ).
fof(f15,plain,
! [X0,X1] :
( subgroup_member(multiply(X0,X1))
| ~ subgroup_member(X0)
| ~ subgroup_member(X1) ),
inference(equality_resolution,[],[f5]) ).
fof(f5,axiom,
! [X2,X0,X1] :
( ~ subgroup_member(X1)
| multiply(X0,X1) != X2
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_multiply) ).
fof(f257,plain,
( spl3_2
| ~ spl3_3 ),
inference(avatar_contradiction_clause,[],[f256]) ).
fof(f256,plain,
( $false
| spl3_2
| ~ spl3_3 ),
inference(subsumption_resolution,[],[f218,f54]) ).
fof(f218,plain,
( ~ subgroup_member(c)
| spl3_2 ),
inference(resolution,[],[f204,f4]) ).
fof(f4,axiom,
! [X0] :
( subgroup_member(inverse(X0))
| ~ subgroup_member(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',closure_of_inverse) ).
fof(f204,plain,
( ~ subgroup_member(inverse(c))
| spl3_2 ),
inference(subsumption_resolution,[],[f203,f11]) ).
fof(f11,axiom,
subgroup_member(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_in_O2) ).
fof(f203,plain,
( ~ subgroup_member(inverse(c))
| ~ subgroup_member(b)
| spl3_2 ),
inference(subsumption_resolution,[],[f201,f31]) ).
fof(f31,plain,
( ~ subgroup_member(a)
| spl3_2 ),
inference(avatar_component_clause,[],[f29]) ).
fof(f201,plain,
( ~ subgroup_member(inverse(c))
| subgroup_member(a)
| ~ subgroup_member(b) ),
inference(superposition,[],[f15,f182]) ).
fof(f182,plain,
a = multiply(inverse(c),b),
inference(superposition,[],[f75,f177]) ).
fof(f177,plain,
b = multiply(c,a),
inference(forward_demodulation,[],[f176,f6]) ).
fof(f6,axiom,
! [X0] : multiply(X0,identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_identity) ).
fof(f176,plain,
multiply(c,a) = multiply(b,identity),
inference(forward_demodulation,[],[f169,f81]) ).
fof(f81,plain,
a = inverse(sF0),
inference(forward_demodulation,[],[f78,f6]) ).
fof(f78,plain,
multiply(a,identity) = inverse(sF0),
inference(superposition,[],[f71,f7]) ).
fof(f7,axiom,
! [X0] : identity = multiply(X0,inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_inverse) ).
fof(f71,plain,
! [X14] : multiply(a,multiply(sF0,X14)) = X14,
inference(forward_demodulation,[],[f63,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_identity) ).
fof(f63,plain,
! [X14] : multiply(identity,X14) = multiply(a,multiply(sF0,X14)),
inference(superposition,[],[f3,f36]) ).
fof(f36,plain,
identity = multiply(a,sF0),
inference(superposition,[],[f7,f16]) ).
fof(f16,plain,
inverse(a) = sF0,
introduced(function_definition,[]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f169,plain,
multiply(b,identity) = multiply(c,inverse(sF0)),
inference(superposition,[],[f61,f7]) ).
fof(f61,plain,
! [X12] : multiply(c,X12) = multiply(b,multiply(sF0,X12)),
inference(superposition,[],[f3,f21]) ).
fof(f21,plain,
c = multiply(b,sF0),
inference(forward_demodulation,[],[f17,f18]) ).
fof(f18,plain,
c = sF1,
inference(definition_folding,[],[f12,f17,f16]) ).
fof(f12,axiom,
multiply(b,inverse(a)) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_times_a_inverse_is_c) ).
fof(f17,plain,
multiply(b,sF0) = sF1,
introduced(function_definition,[]) ).
fof(f75,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = X11,
inference(forward_demodulation,[],[f60,f1]) ).
fof(f60,plain,
! [X10,X11] : multiply(inverse(X10),multiply(X10,X11)) = multiply(identity,X11),
inference(superposition,[],[f3,f2]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_inverse) ).
fof(f255,plain,
( spl3_3
| spl3_2 ),
inference(avatar_split_clause,[],[f254,f29,f52]) ).
fof(f254,plain,
( subgroup_member(c)
| spl3_2 ),
inference(subsumption_resolution,[],[f253,f14]) ).
fof(f253,plain,
( subgroup_member(d)
| subgroup_member(c)
| spl3_2 ),
inference(subsumption_resolution,[],[f248,f31]) ).
fof(f248,plain,
( subgroup_member(a)
| subgroup_member(d)
| subgroup_member(c)
| spl3_2 ),
inference(superposition,[],[f9,f244]) ).
fof(f244,plain,
( c = element_in_O2(a,d)
| spl3_2 ),
inference(forward_demodulation,[],[f243,f86]) ).
fof(f86,plain,
c = multiply(sF0,d),
inference(superposition,[],[f74,f22]) ).
fof(f74,plain,
! [X15] : multiply(sF0,multiply(a,X15)) = X15,
inference(forward_demodulation,[],[f64,f1]) ).
fof(f64,plain,
! [X15] : multiply(identity,X15) = multiply(sF0,multiply(a,X15)),
inference(superposition,[],[f3,f33]) ).
fof(f33,plain,
identity = multiply(sF0,a),
inference(superposition,[],[f2,f16]) ).
fof(f243,plain,
( multiply(sF0,d) = element_in_O2(a,d)
| spl3_2 ),
inference(forward_demodulation,[],[f240,f16]) ).
fof(f240,plain,
( multiply(inverse(a),d) = element_in_O2(a,d)
| spl3_2 ),
inference(superposition,[],[f75,f235]) ).
fof(f235,plain,
( d = multiply(a,element_in_O2(a,d))
| spl3_2 ),
inference(resolution,[],[f97,f31]) ).
fof(f97,plain,
! [X0] :
( subgroup_member(X0)
| d = multiply(X0,element_in_O2(X0,d)) ),
inference(resolution,[],[f10,f14]) ).
fof(f10,axiom,
! [X0,X1] :
( subgroup_member(X1)
| subgroup_member(X0)
| multiply(X0,element_in_O2(X0,X1)) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',property_of_O2) ).
fof(f9,axiom,
! [X0,X1] :
( subgroup_member(element_in_O2(X0,X1))
| subgroup_member(X0)
| subgroup_member(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',an_element_in_O2) ).
fof(f55,plain,
( spl3_3
| ~ spl3_1 ),
inference(avatar_split_clause,[],[f50,f25,f52]) ).
fof(f25,plain,
( spl3_1
<=> subgroup_member(sF0) ),
introduced(avatar_definition,[new_symbols(naming,[spl3_1])]) ).
fof(f50,plain,
( ~ subgroup_member(sF0)
| subgroup_member(c) ),
inference(subsumption_resolution,[],[f46,f11]) ).
fof(f46,plain,
( ~ subgroup_member(b)
| ~ subgroup_member(sF0)
| subgroup_member(c) ),
inference(superposition,[],[f15,f21]) ).
fof(f32,plain,
( spl3_1
| ~ spl3_2 ),
inference(avatar_split_clause,[],[f23,f29,f25]) ).
fof(f23,plain,
( ~ subgroup_member(a)
| subgroup_member(sF0) ),
inference(superposition,[],[f4,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP039-5 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n010.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 : 300
% 0.13/0.34 % DateTime : Mon Aug 29 22:02:29 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (11477)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.19/0.50 % (11481)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.50 % (11486)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.50 TRYING [1]
% 0.19/0.50 TRYING [2]
% 0.19/0.50 TRYING [3]
% 0.19/0.51 TRYING [4]
% 0.19/0.51 % (11477)First to succeed.
% 1.30/0.52 TRYING [5]
% 1.30/0.52 % (11472)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.30/0.52 % (11472)Instruction limit reached!
% 1.30/0.52 % (11472)------------------------------
% 1.30/0.52 % (11472)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.52 % (11468)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52 % (11472)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.52 % (11472)Termination reason: Unknown
% 1.30/0.52 % (11472)Termination phase: Saturation
% 1.30/0.52
% 1.30/0.52 % (11472)Memory used [KB]: 5373
% 1.30/0.52 % (11472)Time elapsed: 0.113 s
% 1.30/0.52 % (11472)Instructions burned: 2 (million)
% 1.30/0.52 % (11472)------------------------------
% 1.30/0.52 % (11472)------------------------------
% 1.30/0.52 % (11471)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.30/0.52 % (11469)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.30/0.52 % (11467)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.30/0.52 % (11465)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53 % (11474)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.30/0.53 % (11477)Refutation found. Thanks to Tanya!
% 1.30/0.53 % SZS status Unsatisfiable for theBenchmark
% 1.30/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 1.30/0.53 % (11477)------------------------------
% 1.30/0.53 % (11477)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.30/0.53 % (11477)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.30/0.53 % (11477)Termination reason: Refutation
% 1.30/0.53
% 1.30/0.53 % (11477)Memory used [KB]: 5500
% 1.30/0.53 % (11477)Time elapsed: 0.107 s
% 1.30/0.53 % (11477)Instructions burned: 9 (million)
% 1.30/0.53 % (11477)------------------------------
% 1.30/0.53 % (11477)------------------------------
% 1.30/0.53 % (11459)Success in time 0.179 s
%------------------------------------------------------------------------------