TSTP Solution File: GRP123-7.003 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n012.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 16:14:17 EDT 2022
% Result : Unsatisfiable 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 31 ( 10 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 63 ( 22 ~; 41 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 31 ( 31 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f141,plain,
$false,
inference(unit_resulting_resolution,[],[f13,f20,f139,f19]) ).
fof(f19,axiom,
! [X3,X0,X1,X4] :
( ~ product1(X3,X1,X0)
| equalish(X3,X4)
| ~ product1(X4,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f139,plain,
product1(e_2,e_3,e_3),
inference(subsumption_resolution,[],[f138,f14]) ).
fof(f14,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f138,plain,
( product1(e_2,e_3,e_3)
| equalish(e_3,e_1) ),
inference(resolution,[],[f128,f31]) ).
fof(f31,plain,
! [X0,X1] :
( ~ product1(X1,X0,X0)
| equalish(X0,X1) ),
inference(resolution,[],[f19,f20]) ).
fof(f128,plain,
( product1(e_1,e_3,e_3)
| product1(e_2,e_3,e_3) ),
inference(subsumption_resolution,[],[f126,f14]) ).
fof(f126,plain,
( product1(e_2,e_3,e_3)
| equalish(e_3,e_1)
| product1(e_1,e_3,e_3) ),
inference(resolution,[],[f103,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f18,f20]) ).
fof(f18,axiom,
! [X3,X0,X1,X4] :
( ~ product1(X0,X4,X1)
| equalish(X3,X4)
| ~ product1(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f103,plain,
( product1(e_1,e_3,e_1)
| product1(e_2,e_3,e_3)
| product1(e_1,e_3,e_3) ),
inference(resolution,[],[f102,f81]) ).
fof(f81,plain,
( ~ product1(e_2,e_3,e_1)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_3) ),
inference(subsumption_resolution,[],[f78,f14]) ).
fof(f78,plain,
( product1(e_1,e_3,e_3)
| product1(e_1,e_3,e_1)
| ~ product1(e_2,e_3,e_1)
| equalish(e_3,e_1) ),
inference(resolution,[],[f59,f36]) ).
fof(f36,plain,
! [X2,X3,X1] :
( ~ product1(X2,X1,X3)
| ~ product1(X3,X1,X2)
| equalish(X1,X2) ),
inference(resolution,[],[f32,f26]) ).
fof(f26,axiom,
! [X0,X1,X6,X5] :
( product2(X6,X0,X1)
| ~ product1(X5,X1,X6)
| ~ product1(X0,X1,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).
fof(f32,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f22,f25]) ).
fof(f25,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f22,axiom,
! [X3,X0,X1,X4] :
( ~ product2(X0,X1,X4)
| ~ product2(X0,X1,X3)
| equalish(X3,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f59,plain,
( product1(e_1,e_3,e_2)
| product1(e_1,e_3,e_1)
| product1(e_1,e_3,e_3) ),
inference(resolution,[],[f54,f9]) ).
fof(f9,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f54,plain,
! [X0] :
( ~ group_element(X0)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_1) ),
inference(resolution,[],[f16,f7]) ).
fof(f7,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f16,axiom,
! [X0,X1] :
( ~ group_element(X0)
| product1(X0,X1,e_1)
| product1(X0,X1,e_3)
| product1(X0,X1,e_2)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f102,plain,
( product1(e_2,e_3,e_1)
| product1(e_2,e_3,e_3) ),
inference(subsumption_resolution,[],[f99,f15]) ).
fof(f15,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f99,plain,
( product1(e_2,e_3,e_3)
| equalish(e_3,e_2)
| product1(e_2,e_3,e_1) ),
inference(resolution,[],[f73,f29]) ).
fof(f73,plain,
( product1(e_2,e_3,e_2)
| product1(e_2,e_3,e_3)
| product1(e_2,e_3,e_1) ),
inference(resolution,[],[f55,f9]) ).
fof(f55,plain,
! [X1] :
( ~ group_element(X1)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| product1(e_2,X1,e_3) ),
inference(resolution,[],[f16,f8]) ).
fof(f8,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f20,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f13,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-7.003 : TPTP v8.1.0. Released v1.2.0.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34 % Computer : n012.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 22:12:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50 % (9398)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.50 % (9401)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.19/0.50 % (9411)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.50 % (9403)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.50 % (9395)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.51 % (9390)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.51 % (9400)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.51 % (9394)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.52 % (9419)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.19/0.52 % (9391)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.19/0.52 % (9401)Instruction limit reached!
% 0.19/0.52 % (9401)------------------------------
% 0.19/0.52 % (9401)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9401)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9401)Termination reason: Unknown
% 0.19/0.52 % (9401)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (9401)Memory used [KB]: 5884
% 0.19/0.52 % (9401)Time elapsed: 0.114 s
% 0.19/0.52 % (9401)Instructions burned: 5 (million)
% 0.19/0.52 % (9401)------------------------------
% 0.19/0.52 % (9401)------------------------------
% 0.19/0.52 % (9391)Refutation not found, incomplete strategy% (9391)------------------------------
% 0.19/0.52 % (9391)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (9391)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (9391)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.52
% 0.19/0.52 % (9391)Memory used [KB]: 5884
% 0.19/0.52 % (9391)Time elapsed: 0.113 s
% 0.19/0.52 % (9391)Instructions burned: 2 (million)
% 0.19/0.52 % (9391)------------------------------
% 0.19/0.52 % (9391)------------------------------
% 0.19/0.52 % (9403)First to succeed.
% 0.19/0.53 % (9389)lrs+10_1:1_kws=precedence:lwlo=on:tgt=ground:i=99966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99966Mi)
% 0.19/0.53 % (9393)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.19/0.53 % (9393)Refutation not found, incomplete strategy% (9393)------------------------------
% 0.19/0.53 % (9393)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9393)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9393)Termination reason: Refutation not found, incomplete strategy
% 0.19/0.53
% 0.19/0.53 % (9393)Memory used [KB]: 5756
% 0.19/0.53 % (9393)Time elapsed: 0.001 s
% 0.19/0.53 % (9393)------------------------------
% 0.19/0.53 % (9393)------------------------------
% 0.19/0.53 % (9406)ott+2_1:64_afp=40000:bd=off:irw=on:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.19/0.53 % (9403)Refutation found. Thanks to Tanya!
% 0.19/0.53 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.53 % (9403)------------------------------
% 0.19/0.53 % (9403)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (9403)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (9403)Termination reason: Refutation
% 0.19/0.53
% 0.19/0.53 % (9403)Memory used [KB]: 1407
% 0.19/0.53 % (9403)Time elapsed: 0.066 s
% 0.19/0.53 % (9403)Instructions burned: 17 (million)
% 0.19/0.53 % (9403)------------------------------
% 0.19/0.53 % (9403)------------------------------
% 0.19/0.53 % (9387)Success in time 0.178 s
%------------------------------------------------------------------------------