TSTP Solution File: GRP123-3.003 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n006.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 11:51:37 EDT 2024
% Result : Unsatisfiable 0.20s 0.37s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 13
% Syntax : Number of formulae : 32 ( 13 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 67 ( 27 ~; 40 |; 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 : 29 ( 29 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f200,plain,
$false,
inference(subsumption_resolution,[],[f199,f24]) ).
fof(f24,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f199,plain,
equalish(e_3,e_1),
inference(resolution,[],[f188,f50]) ).
fof(f50,plain,
! [X0,X1] :
( ~ product(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f28,f30]) ).
fof(f30,axiom,
! [X0] : product(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_idempotence) ).
fof(f28,axiom,
! [X2,X3,X0,X1] :
( ~ product(X0,X2,X1)
| equalish(X3,X2)
| ~ product(X0,X3,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_right_cancellation) ).
fof(f188,plain,
product(e_1,e_3,e_1),
inference(subsumption_resolution,[],[f179,f30]) ).
fof(f179,plain,
( ~ product(e_1,e_1,e_1)
| product(e_1,e_3,e_1) ),
inference(resolution,[],[f176,f116]) ).
fof(f116,plain,
! [X0] :
( ~ product(e_2,e_3,X0)
| ~ product(e_1,e_1,X0)
| product(e_1,e_3,e_1) ),
inference(subsumption_resolution,[],[f114,f22]) ).
fof(f22,axiom,
~ equalish(e_2,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_1) ).
fof(f114,plain,
! [X0] :
( product(e_1,e_3,e_1)
| equalish(e_2,e_1)
| ~ product(e_1,e_1,X0)
| ~ product(e_2,e_3,X0) ),
inference(resolution,[],[f107,f35]) ).
fof(f35,plain,
! [X2,X3,X0,X1] :
( ~ product(X1,X2,X0)
| equalish(X0,X1)
| ~ product(X1,X1,X3)
| ~ product(X0,X2,X3) ),
inference(resolution,[],[f31,f30]) ).
fof(f31,axiom,
! [X8,X6,X9,X7,X4,X5] :
( ~ product(X5,X9,X8)
| equalish(X6,X8)
| ~ product(X5,X7,X6)
| ~ product(X8,X9,X4)
| ~ product(X6,X7,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1_1) ).
fof(f107,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(subsumption_resolution,[],[f104,f21]) ).
fof(f21,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f104,plain,
( product(e_1,e_3,e_2)
| product(e_1,e_3,e_1)
| equalish(e_1,e_3) ),
inference(resolution,[],[f87,f52]) ).
fof(f52,plain,
! [X0,X1] :
( ~ product(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f29,f30]) ).
fof(f29,axiom,
! [X2,X3,X0,X1] :
( ~ product(X2,X1,X0)
| equalish(X3,X2)
| ~ product(X3,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_left_cancellation) ).
fof(f87,plain,
( product(e_1,e_3,e_3)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_1) ),
inference(resolution,[],[f59,f19]) ).
fof(f19,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f59,plain,
! [X0] :
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1) ),
inference(resolution,[],[f26,f17]) ).
fof(f17,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f26,axiom,
! [X0,X1] :
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_2)
| product(X0,X1,e_1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product_total_function1) ).
fof(f176,plain,
product(e_2,e_3,e_1),
inference(subsumption_resolution,[],[f174,f25]) ).
fof(f25,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f174,plain,
( product(e_2,e_3,e_1)
| equalish(e_3,e_2) ),
inference(resolution,[],[f159,f50]) ).
fof(f159,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(subsumption_resolution,[],[f156,f23]) ).
fof(f23,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f156,plain,
( product(e_2,e_3,e_2)
| product(e_2,e_3,e_1)
| equalish(e_2,e_3) ),
inference(resolution,[],[f133,f52]) ).
fof(f133,plain,
( product(e_2,e_3,e_3)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_1) ),
inference(resolution,[],[f60,f19]) ).
fof(f60,plain,
! [X0] :
( ~ group_element(X0)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) ),
inference(resolution,[],[f26,f18]) ).
fof(f18,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP123-3.003 : TPTP v8.1.2. Released v1.2.0.
% 0.03/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.34 % Computer : n006.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Apr 30 04:21:05 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.34 % (18696)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.36 % (18703)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 Detected minimum model sizes of [1]
% 0.14/0.36 Detected maximum model sizes of [4]
% 0.14/0.36 TRYING [1]
% 0.14/0.36 TRYING [2]
% 0.14/0.36 TRYING [3]
% 0.14/0.36 % (18697)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.36 % (18698)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.36 % (18702)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.36 % (18701)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.36 % (18700)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.20/0.36 TRYING [4]
% 0.20/0.36 % (18699)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.20/0.36 Detected minimum model sizes of [1]
% 0.20/0.36 Detected maximum model sizes of [4]
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [2]
% 0.20/0.36 Detected minimum model sizes of [1]
% 0.20/0.36 Detected maximum model sizes of [4]
% 0.20/0.36 TRYING [1]
% 0.20/0.36 Detected minimum model sizes of [1]
% 0.20/0.36 Detected maximum model sizes of [4]
% 0.20/0.36 TRYING [1]
% 0.20/0.36 TRYING [3]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [2]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 TRYING [3]
% 0.20/0.37 % (18701)First to succeed.
% 0.20/0.37 % (18702)Also succeeded, but the first one will report.
% 0.20/0.37 TRYING [4]
% 0.20/0.37 % (18701)Refutation found. Thanks to Tanya!
% 0.20/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.37 % (18701)------------------------------
% 0.20/0.37 % (18701)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.37 % (18701)Termination reason: Refutation
% 0.20/0.37
% 0.20/0.37 % (18701)Memory used [KB]: 853
% 0.20/0.37 % (18701)Time elapsed: 0.009 s
% 0.20/0.37 % (18701)Instructions burned: 15 (million)
% 0.20/0.37 % (18701)------------------------------
% 0.20/0.37 % (18701)------------------------------
% 0.20/0.37 % (18696)Success in time 0.025 s
%------------------------------------------------------------------------------