TSTP Solution File: GRP123-9.003 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : n024.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 16:20:20 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 33 ( 14 unt; 0 def)
% Number of atoms : 72 ( 0 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 69 ( 30 ~; 39 |; 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(f196,plain,
$false,
inference(subsumption_resolution,[],[f190,f6]) ).
fof(f6,axiom,
~ equalish(e_1,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_2) ).
fof(f190,plain,
equalish(e_1,e_2),
inference(resolution,[],[f189,f121]) ).
fof(f121,plain,
! [X1] :
( ~ product1(X1,e_3,e_1)
| equalish(X1,e_2) ),
inference(resolution,[],[f119,f15]) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X3,X1,X0)
| equalish(X2,X3)
| ~ product1(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_left_cancellation) ).
fof(f119,plain,
product1(e_2,e_3,e_1),
inference(subsumption_resolution,[],[f118,f4]) ).
fof(f4,axiom,
group_element(e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_2) ).
fof(f118,plain,
( product1(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(subsumption_resolution,[],[f117,f9]) ).
fof(f9,axiom,
~ equalish(e_2,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_2_is_not_e_3) ).
fof(f117,plain,
( equalish(e_2,e_3)
| product1(e_2,e_3,e_1)
| ~ group_element(e_2) ),
inference(subsumption_resolution,[],[f115,f11]) ).
fof(f11,axiom,
~ equalish(e_3,e_2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_2) ).
fof(f115,plain,
( equalish(e_3,e_2)
| product1(e_2,e_3,e_1)
| equalish(e_2,e_3)
| ~ group_element(e_2) ),
inference(resolution,[],[f48,f25]) ).
fof(f25,plain,
! [X0,X1] :
( ~ product1(X1,X0,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f14,f16]) ).
fof(f16,axiom,
! [X0] : product1(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_idempotence) ).
fof(f14,axiom,
! [X2,X3,X0,X1] :
( ~ product1(X0,X3,X1)
| equalish(X2,X3)
| ~ product1(X0,X2,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_right_cancellation) ).
fof(f48,plain,
! [X14] :
( product1(X14,e_3,e_2)
| ~ group_element(X14)
| equalish(X14,e_3)
| product1(X14,e_3,e_1) ),
inference(subsumption_resolution,[],[f43,f5]) ).
fof(f5,axiom,
group_element(e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_3) ).
fof(f43,plain,
! [X14] :
( product1(X14,e_3,e_1)
| product1(X14,e_3,e_2)
| equalish(X14,e_3)
| ~ group_element(X14)
| ~ group_element(e_3) ),
inference(resolution,[],[f12,f27]) ).
fof(f27,plain,
! [X0,X1] :
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ),
inference(resolution,[],[f15,f16]) ).
fof(f12,axiom,
! [X0,X1] :
( product1(X0,X1,e_3)
| product1(X0,X1,e_1)
| ~ group_element(X0)
| product1(X0,X1,e_2)
| ~ group_element(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product1_total_function1) ).
fof(f189,plain,
product1(e_1,e_3,e_1),
inference(subsumption_resolution,[],[f188,f3]) ).
fof(f3,axiom,
group_element(e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',element_1) ).
fof(f188,plain,
( ~ group_element(e_1)
| product1(e_1,e_3,e_1) ),
inference(subsumption_resolution,[],[f187,f10]) ).
fof(f10,axiom,
~ equalish(e_3,e_1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_3_is_not_e_1) ).
fof(f187,plain,
( product1(e_1,e_3,e_1)
| equalish(e_3,e_1)
| ~ group_element(e_1) ),
inference(subsumption_resolution,[],[f182,f7]) ).
fof(f7,axiom,
~ equalish(e_1,e_3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',e_1_is_not_e_3) ).
fof(f182,plain,
( product1(e_1,e_3,e_1)
| equalish(e_1,e_3)
| equalish(e_3,e_1)
| ~ group_element(e_1) ),
inference(resolution,[],[f131,f29]) ).
fof(f29,plain,
! [X0,X1] :
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ),
inference(resolution,[],[f18,f21]) ).
fof(f21,axiom,
! [X0] : product2(X0,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_idempotence) ).
fof(f18,axiom,
! [X2,X3,X0,X1] :
( ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2)
| equalish(X2,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',product2_total_function2) ).
fof(f131,plain,
! [X0] :
( product2(e_1,X0,e_3)
| product1(X0,e_3,e_1)
| ~ group_element(X0)
| equalish(X0,e_3) ),
inference(resolution,[],[f120,f48]) ).
fof(f120,plain,
! [X0] :
( ~ product1(X0,e_3,e_2)
| product2(e_1,X0,e_3) ),
inference(resolution,[],[f119,f22]) ).
fof(f22,axiom,
! [X0,X1,X4,X5] :
( ~ product1(X4,X1,X5)
| product2(X5,X0,X1)
| ~ product1(X0,X1,X4) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',qg1a) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GRP123-9.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.12/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Mon Aug 29 22:15:19 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.51 % (29972)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.21/0.51 % (29952)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.51 % (29957)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (29949)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)
% 0.21/0.52 % (29966)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.21/0.52 % (29949)Refutation not found, incomplete strategy% (29949)------------------------------
% 0.21/0.52 % (29949)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (29949)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.52 % (29949)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.52
% 0.21/0.52 % (29949)Memory used [KB]: 5373
% 0.21/0.52 % (29949)Time elapsed: 0.098 s
% 0.21/0.52 % (29949)Instructions burned: 2 (million)
% 0.21/0.52 % (29949)------------------------------
% 0.21/0.52 % (29949)------------------------------
% 0.21/0.52 % (29951)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)
% 0.21/0.52 % (29960)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.21/0.53 % (29953)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)
% 0.21/0.53 % (29960)First to succeed.
% 0.21/0.53 % (29977)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.21/0.53 % (29976)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.21/0.53 % (29971)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.21/0.54 % (29950)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.21/0.54 % (29975)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.21/0.54 % (29970)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)
% 0.21/0.54 % (29954)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.54 % (29960)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.54 % (29960)------------------------------
% 0.21/0.54 % (29960)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.54 % (29960)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.54 % (29960)Termination reason: Refutation
% 0.21/0.54
% 0.21/0.54 % (29960)Memory used [KB]: 5500
% 0.21/0.54 % (29960)Time elapsed: 0.122 s
% 0.21/0.54 % (29960)Instructions burned: 10 (million)
% 0.21/0.54 % (29960)------------------------------
% 0.21/0.54 % (29960)------------------------------
% 0.21/0.54 % (29946)Success in time 0.183 s
%------------------------------------------------------------------------------