TSTP Solution File: GRP123-1.003 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP123-1.003 : 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_sat --cores 0 -t %d %s
% Computer : n009.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 16:20:17 EDT 2022
% Result : Unsatisfiable 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 12
% Syntax : Number of formulae : 28 ( 11 unt; 0 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 76 ( 34 ~; 42 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 30 ( 30 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f100,plain,
$false,
inference(subsumption_resolution,[],[f99,f1]) ).
fof(f1,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f99,plain,
~ group_element(e_1),
inference(subsumption_resolution,[],[f98,f5]) ).
fof(f5,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f98,plain,
( equalish(e_1,e_3)
| ~ group_element(e_1) ),
inference(subsumption_resolution,[],[f96,f6]) ).
fof(f6,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f96,plain,
( equalish(e_2,e_1)
| ~ group_element(e_1)
| equalish(e_1,e_3) ),
inference(resolution,[],[f90,f14]) ).
fof(f14,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f90,plain,
! [X0] :
( ~ product(X0,X0,e_1)
| ~ group_element(X0)
| equalish(e_2,X0)
| equalish(X0,e_3) ),
inference(subsumption_resolution,[],[f88,f12]) ).
fof(f12,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X3,X1)
| equalish(X2,X3)
| ~ product(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f88,plain,
! [X0] :
( ~ group_element(X0)
| equalish(X0,e_3)
| product(X0,e_3,e_1)
| equalish(e_2,X0)
| ~ product(X0,X0,e_1) ),
inference(resolution,[],[f76,f30]) ).
fof(f30,plain,
! [X10] :
( product(X10,e_3,e_2)
| ~ group_element(X10)
| product(X10,e_3,e_1)
| equalish(X10,e_3) ),
inference(subsumption_resolution,[],[f27,f3]) ).
fof(f3,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f27,plain,
! [X10] :
( ~ group_element(X10)
| product(X10,e_3,e_1)
| ~ group_element(e_3)
| equalish(X10,e_3)
| product(X10,e_3,e_2) ),
inference(resolution,[],[f10,f21]) ).
fof(f21,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f13,f14]) ).
fof(f13,axiom,
! [X2,X3,X0,X1] :
( ~ product(X3,X1,X0)
| equalish(X2,X3)
| ~ product(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f10,axiom,
! [X0,X1] :
( product(X0,X1,e_3)
| product(X0,X1,e_2)
| ~ group_element(X1)
| product(X0,X1,e_1)
| ~ group_element(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f76,plain,
! [X11] :
( ~ product(X11,e_3,e_2)
| ~ product(X11,X11,e_1)
| equalish(e_2,X11) ),
inference(resolution,[],[f32,f63]) ).
fof(f63,plain,
product(e_2,e_3,e_1),
inference(subsumption_resolution,[],[f62,f2]) ).
fof(f2,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f62,plain,
( product(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(subsumption_resolution,[],[f61,f9]) ).
fof(f9,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f61,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_2)
| ~ group_element(e_2) ),
inference(subsumption_resolution,[],[f59,f7]) ).
fof(f7,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f59,plain,
( product(e_2,e_3,e_1)
| equalish(e_2,e_3)
| equalish(e_3,e_2)
| ~ group_element(e_2) ),
inference(resolution,[],[f30,f19]) ).
fof(f19,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f12,f14]) ).
fof(f32,plain,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X3)
| equalish(X2,X0)
| ~ product(X0,X1,X2)
| ~ product(X0,X0,X3) ),
inference(resolution,[],[f15,f14]) ).
fof(f15,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X9,X8,X7)
| ~ product(X9,X5,X4)
| equalish(X4,X7)
| ~ product(X4,X5,X6)
| ~ product(X7,X8,X6) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GRP123-1.003 : TPTP v8.1.0. Released v1.2.0.
% 0.13/0.13 % 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 : n009.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 22:11:50 EDT 2022
% 0.20/0.34 % CPUTime :
% 0.20/0.49 % (16019)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (16012)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.50 % (16021)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.51 % (16028)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.51 % (16029)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.52 % (16021)First to succeed.
% 0.20/0.52 % (16012)Also succeeded, but the first one will report.
% 0.20/0.52 % (16021)Refutation found. Thanks to Tanya!
% 0.20/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.52 % (16021)------------------------------
% 0.20/0.52 % (16021)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52 % (16021)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52 % (16021)Termination reason: Refutation
% 0.20/0.52
% 0.20/0.52 % (16021)Memory used [KB]: 5373
% 0.20/0.52 % (16021)Time elapsed: 0.109 s
% 0.20/0.52 % (16021)Instructions burned: 7 (million)
% 0.20/0.52 % (16021)------------------------------
% 0.20/0.52 % (16021)------------------------------
% 0.20/0.52 % (16007)Success in time 0.173 s
%------------------------------------------------------------------------------