TSTP Solution File: GRP086-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n029.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 : Fri Sep 1 15:38:55 EDT 2023
% Result : Unsatisfiable 0.22s 0.53s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 2
% Syntax : Number of formulae : 32 ( 25 unt; 0 def)
% Number of atoms : 45 ( 44 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 35 ( 22 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 9 con; 0-2 aty)
% Number of variables : 57 (; 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3153,plain,
$false,
inference(subsumption_resolution,[],[f3151,f916]) ).
fof(f916,plain,
! [X44,X45,X43] : multiply(X45,multiply(X43,X44)) = multiply(X44,multiply(X45,X43)),
inference(forward_demodulation,[],[f881,f251]) ).
fof(f251,plain,
! [X2,X3] : multiply(X2,X3) = multiply(X2,inverse(inverse(X3))),
inference(superposition,[],[f230,f230]) ).
fof(f230,plain,
! [X2,X1] : multiply(multiply(X2,inverse(X1)),X1) = X2,
inference(superposition,[],[f21,f177]) ).
fof(f177,plain,
! [X0,X1] : multiply(X0,inverse(multiply(X0,inverse(X1)))) = X1,
inference(superposition,[],[f126,f1]) ).
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,multiply(multiply(X1,X2),inverse(multiply(X0,X2)))) = X1,
file('/export/starexec/sandbox/tmp/tmp.GGCJibpZB0/Vampire---4.8_2682',single_axiom) ).
fof(f126,plain,
! [X14,X15,X13] : multiply(X15,X14) = multiply(X15,multiply(multiply(X13,inverse(X13)),X14)),
inference(superposition,[],[f58,f78]) ).
fof(f78,plain,
! [X8,X9,X7] : multiply(multiply(X7,X9),X8) = multiply(multiply(X7,X8),X9),
inference(superposition,[],[f58,f36]) ).
fof(f36,plain,
! [X2,X3,X4] : multiply(X4,X3) = multiply(multiply(X2,X3),multiply(X4,inverse(X2))),
inference(superposition,[],[f3,f21]) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X1,inverse(multiply(X3,multiply(multiply(X1,X2),inverse(multiply(X0,X2))))))) = X0,
inference(superposition,[],[f1,f1]) ).
fof(f58,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X0,multiply(multiply(X1,X2),inverse(X1))),
inference(superposition,[],[f17,f1]) ).
fof(f17,plain,
! [X8,X7,X5] : multiply(X7,multiply(X8,inverse(multiply(X7,multiply(X8,inverse(X5)))))) = X5,
inference(forward_demodulation,[],[f13,f9]) ).
fof(f9,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = X0,
inference(superposition,[],[f3,f1]) ).
fof(f13,plain,
! [X8,X6,X7,X5] : multiply(X7,multiply(X8,inverse(multiply(X7,multiply(multiply(X8,multiply(X6,inverse(X6))),inverse(X5)))))) = X5,
inference(superposition,[],[f3,f9]) ).
fof(f21,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),multiply(X2,inverse(multiply(X2,X1)))) = X0,
inference(superposition,[],[f3,f12]) ).
fof(f12,plain,
! [X2,X3] : multiply(X2,multiply(X3,inverse(X2))) = X3,
inference(superposition,[],[f3,f9]) ).
fof(f881,plain,
! [X44,X45,X43] : multiply(X45,multiply(X43,X44)) = multiply(X44,multiply(X45,inverse(inverse(X43)))),
inference(superposition,[],[f36,f460]) ).
fof(f460,plain,
! [X4,X5] : multiply(inverse(X4),multiply(X4,X5)) = X5,
inference(superposition,[],[f291,f311]) ).
fof(f311,plain,
! [X18,X19] : multiply(X19,X18) = multiply(X18,X19),
inference(superposition,[],[f12,f254]) ).
fof(f254,plain,
! [X2,X3] : multiply(multiply(X2,X3),inverse(X3)) = X2,
inference(superposition,[],[f230,f78]) ).
fof(f291,plain,
! [X58,X57] : multiply(multiply(X57,X58),inverse(X57)) = X58,
inference(forward_demodulation,[],[f279,f251]) ).
fof(f279,plain,
! [X58,X57] : multiply(multiply(X57,inverse(inverse(X58))),inverse(X57)) = X58,
inference(superposition,[],[f177,f230]) ).
fof(f3151,plain,
multiply(a3,multiply(b3,c3)) != multiply(c3,multiply(a3,b3)),
inference(superposition,[],[f431,f311]) ).
fof(f431,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(subsumption_resolution,[],[f430,f181]) ).
fof(f181,plain,
! [X14,X13] : multiply(X14,inverse(X14)) = multiply(X13,inverse(X13)),
inference(superposition,[],[f126,f12]) ).
fof(f430,plain,
( multiply(b1,inverse(b1)) != multiply(a1,inverse(a1))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f429,f311]) ).
fof(f429,plain,
( multiply(inverse(a1),a1) != multiply(b1,inverse(b1))
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f428,f311]) ).
fof(f428,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f427,f9]) ).
fof(f427,plain,
( a2 != multiply(a2,multiply(b2,inverse(b2)))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(forward_demodulation,[],[f426,f311]) ).
fof(f426,plain,
( a2 != multiply(a2,multiply(inverse(b2),b2))
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(subsumption_resolution,[],[f376,f311]) ).
fof(f376,plain,
( a2 != multiply(a2,multiply(inverse(b2),b2))
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(superposition,[],[f2,f311]) ).
fof(f2,axiom,
( a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(a4,b4) != multiply(b4,a4)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/tmp/tmp.GGCJibpZB0/Vampire---4.8_2682',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GRP086-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.07/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Wed Aug 30 17:46:12 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.42 % (2928)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42 % (2929)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.22/0.42 % (2930)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.22/0.42 % (2932)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.22/0.42 % (2931)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on Vampire---4 for (569ds/0Mi)
% 0.22/0.42 % (2933)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on Vampire---4 for (531ds/0Mi)
% 0.22/0.42 % (2934)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on Vampire---4 for (522ds/0Mi)
% 0.22/0.42 % (2935)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on Vampire---4 for (497ds/0Mi)
% 0.22/0.42 TRYING [1]
% 0.22/0.42 TRYING [2]
% 0.22/0.42 TRYING [1]
% 0.22/0.43 TRYING [2]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [3]
% 0.22/0.43 TRYING [4]
% 0.22/0.49 TRYING [1]
% 0.22/0.49 TRYING [2]
% 0.22/0.49 TRYING [3]
% 0.22/0.50 TRYING [4]
% 0.22/0.51 TRYING [5]
% 0.22/0.53 % (2935)First to succeed.
% 0.22/0.53 % (2935)Refutation found. Thanks to Tanya!
% 0.22/0.53 % SZS status Unsatisfiable for Vampire---4
% 0.22/0.53 % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.53 % (2935)------------------------------
% 0.22/0.53 % (2935)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.53 % (2935)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.53 % (2935)Termination reason: Refutation
% 0.22/0.53
% 0.22/0.53 % (2935)Memory used [KB]: 3582
% 0.22/0.53 % (2935)Time elapsed: 0.105 s
% 0.22/0.53 % (2935)------------------------------
% 0.22/0.53 % (2935)------------------------------
% 0.22/0.53 % (2928)Success in time 0.152 s
% 0.22/0.53 % Vampire---4.8 exiting
%------------------------------------------------------------------------------