TSTP Solution File: GRP535-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 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 12:07:28 EDT 2024
% Result : Unsatisfiable 1.68s 0.58s
% Output : Refutation 1.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 5
% Syntax : Number of formulae : 42 ( 42 unt; 0 def)
% Number of atoms : 42 ( 41 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 88 ( 88 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f9668,plain,
$false,
inference(trivial_inequality_removal,[],[f9606]) ).
fof(f9606,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f5,f8047]) ).
fof(f8047,plain,
! [X2,X3,X0] : multiply(multiply(X2,X0),X3) = multiply(X2,multiply(X0,X3)),
inference(forward_demodulation,[],[f7918,f5244]) ).
fof(f5244,plain,
! [X2,X0,X1] : divide(multiply(X0,X1),divide(X1,X2)) = multiply(X2,X0),
inference(superposition,[],[f157,f52]) ).
fof(f52,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),divide(X1,X2)),X0) = X2,
inference(superposition,[],[f1,f42]) ).
fof(f42,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(forward_demodulation,[],[f41,f8]) ).
fof(f8,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(forward_demodulation,[],[f7,f6]) ).
fof(f6,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(forward_demodulation,[],[f3,f4]) ).
fof(f4,axiom,
! [X0] : identity = divide(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f3,axiom,
! [X0,X1] : inverse(X0) = divide(divide(X1,X1),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(forward_demodulation,[],[f2,f4]) ).
fof(f2,axiom,
! [X2,X0,X1] : multiply(X0,X1) = divide(X0,divide(divide(X2,X2),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f41,plain,
! [X0,X1] : divide(divide(X0,inverse(X1)),X0) = X1,
inference(forward_demodulation,[],[f31,f6]) ).
fof(f31,plain,
! [X0,X1] : divide(divide(X0,divide(identity,X1)),X0) = X1,
inference(superposition,[],[f1,f4]) ).
fof(f1,axiom,
! [X2,X0,X1] : divide(divide(X0,divide(divide(X0,X1),X2)),X1) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f157,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = X0,
inference(forward_demodulation,[],[f148,f69]) ).
fof(f69,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = divide(X1,X0),
inference(superposition,[],[f8,f56]) ).
fof(f56,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(superposition,[],[f47,f6]) ).
fof(f47,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(superposition,[],[f42,f12]) ).
fof(f12,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(superposition,[],[f8,f4]) ).
fof(f148,plain,
! [X0,X1] : multiply(multiply(X0,inverse(X1)),X1) = X0,
inference(superposition,[],[f127,f8]) ).
fof(f127,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(superposition,[],[f78,f42]) ).
fof(f78,plain,
! [X0,X1] : divide(X0,divide(X0,X1)) = X1,
inference(forward_demodulation,[],[f72,f35]) ).
fof(f35,plain,
! [X0,X1] : divide(X0,X1) = divide(divide(X0,identity),X1),
inference(superposition,[],[f1,f4]) ).
fof(f72,plain,
! [X0,X1] : divide(X0,divide(divide(X0,identity),X1)) = X1,
inference(superposition,[],[f65,f1]) ).
fof(f65,plain,
! [X0] : divide(X0,identity) = X0,
inference(superposition,[],[f42,f55]) ).
fof(f55,plain,
! [X0] : multiply(identity,X0) = X0,
inference(superposition,[],[f47,f8]) ).
fof(f7918,plain,
! [X2,X3,X0,X1] : multiply(divide(multiply(X0,X1),divide(X1,X2)),X3) = multiply(X2,multiply(X0,X3)),
inference(superposition,[],[f6819,f52]) ).
fof(f6819,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(divide(X0,X1),multiply(X1,X2)),
inference(superposition,[],[f45,f5603]) ).
fof(f5603,plain,
! [X2,X0,X1] : divide(multiply(X1,multiply(X0,X2)),multiply(X1,X2)) = X0,
inference(forward_demodulation,[],[f5602,f5071]) ).
fof(f5071,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[],[f4930,f8]) ).
fof(f4930,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = multiply(divide(X0,inverse(X2)),X1),
inference(superposition,[],[f45,f331]) ).
fof(f331,plain,
! [X0,X1] : inverse(X0) = divide(X1,multiply(X0,X1)),
inference(superposition,[],[f42,f248]) ).
fof(f248,plain,
! [X0,X1] : multiply(multiply(X0,X1),inverse(X0)) = X1,
inference(superposition,[],[f51,f56]) ).
fof(f51,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(superposition,[],[f42,f8]) ).
fof(f5602,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),multiply(X1,X2)) = X0,
inference(forward_demodulation,[],[f5489,f8]) ).
fof(f5489,plain,
! [X2,X0,X1] : divide(multiply(multiply(X0,X1),X2),divide(X1,inverse(X2))) = X0,
inference(superposition,[],[f3659,f8]) ).
fof(f3659,plain,
! [X2,X0,X1] : divide(divide(multiply(X0,X1),X2),divide(X1,X2)) = X0,
inference(superposition,[],[f37,f42]) ).
fof(f37,plain,
! [X2,X0,X1] : divide(divide(X0,X2),divide(divide(X0,X1),X2)) = X1,
inference(superposition,[],[f1,f1]) ).
fof(f45,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(multiply(X0,X1),X2)),X1) = X2,
inference(forward_demodulation,[],[f39,f8]) ).
fof(f39,plain,
! [X2,X0,X1] : multiply(divide(X0,divide(divide(X0,inverse(X1)),X2)),X1) = X2,
inference(superposition,[],[f1,f8]) ).
fof(f5,axiom,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP535-1 : TPTP v8.1.2. Released v2.6.0.
% 0.14/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n006.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 : Tue Apr 30 04:24:20 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (2455)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.36 % (2459)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.37 TRYING [3]
% 0.21/0.37 % (2458)WARNING: value z3 for option sas not known
% 0.21/0.37 % (2458)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 theBenchmark for (569ds/0Mi)
% 0.21/0.37 % (2457)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.37 % (2461)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 theBenchmark for (522ds/0Mi)
% 0.21/0.37 TRYING [4]
% 0.21/0.37 % (2460)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 theBenchmark for (531ds/0Mi)
% 0.21/0.37 % (2462)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 theBenchmark for (497ds/0Mi)
% 0.21/0.37 % (2456)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.37 TRYING [1]
% 0.21/0.37 TRYING [2]
% 0.21/0.38 TRYING [5]
% 0.21/0.38 TRYING [3]
% 0.21/0.39 TRYING [4]
% 0.21/0.40 TRYING [6]
% 0.21/0.45 TRYING [5]
% 0.21/0.46 TRYING [7]
% 1.68/0.58 % (2462)First to succeed.
% 1.68/0.58 % (2462)Refutation found. Thanks to Tanya!
% 1.68/0.58 % SZS status Unsatisfiable for theBenchmark
% 1.68/0.58 % SZS output start Proof for theBenchmark
% See solution above
% 1.68/0.58 % (2462)------------------------------
% 1.68/0.58 % (2462)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 1.68/0.58 % (2462)Termination reason: Refutation
% 1.68/0.58
% 1.68/0.58 % (2462)Memory used [KB]: 4157
% 1.68/0.58 % (2462)Time elapsed: 0.213 s
% 1.68/0.58 % (2462)Instructions burned: 445 (million)
% 1.68/0.58 % (2462)------------------------------
% 1.68/0.58 % (2462)------------------------------
% 1.68/0.58 % (2455)Success in time 0.213 s
%------------------------------------------------------------------------------