TSTP Solution File: BOO009-2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 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 : n018.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 15:50:06 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 10
% Syntax : Number of formulae : 25 ( 25 unt; 0 def)
% Number of atoms : 25 ( 24 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 1 ( 1 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 4 ( 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f760,plain,
$false,
inference(subsumption_resolution,[],[f15,f714]) ).
fof(f714,plain,
! [X2,X1] : multiply(X2,add(X2,X1)) = X2,
inference(superposition,[],[f633,f1]) ).
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_add) ).
fof(f633,plain,
! [X10,X11] : multiply(X10,add(X11,X10)) = X10,
inference(forward_demodulation,[],[f614,f14]) ).
fof(f14,axiom,
! [X0] : add(additive_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id2) ).
fof(f614,plain,
! [X10,X11] : add(additive_identity,X10) = multiply(X10,add(X11,X10)),
inference(backward_demodulation,[],[f60,f585]) ).
fof(f585,plain,
! [X1] : additive_identity = multiply(additive_identity,X1),
inference(superposition,[],[f503,f2]) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_multiply) ).
fof(f503,plain,
! [X8] : additive_identity = multiply(X8,additive_identity),
inference(superposition,[],[f472,f13]) ).
fof(f13,axiom,
! [X0] : add(X0,additive_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_id1) ).
fof(f472,plain,
! [X26,X25] : add(multiply(X26,X25),X25) = X25,
inference(forward_demodulation,[],[f471,f12]) ).
fof(f12,axiom,
! [X0] : multiply(multiplicative_identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id2) ).
fof(f471,plain,
! [X26,X25] : add(multiply(X26,X25),X25) = multiply(multiplicative_identity,X25),
inference(forward_demodulation,[],[f453,f106]) ).
fof(f106,plain,
! [X1] : multiplicative_identity = add(X1,multiplicative_identity),
inference(superposition,[],[f94,f1]) ).
fof(f94,plain,
! [X6] : multiplicative_identity = add(multiplicative_identity,X6),
inference(forward_demodulation,[],[f84,f8]) ).
fof(f8,axiom,
! [X0] : multiplicative_identity = add(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_inverse2) ).
fof(f84,plain,
! [X6] : add(multiplicative_identity,X6) = add(inverse(X6),X6),
inference(superposition,[],[f76,f12]) ).
fof(f76,plain,
! [X12,X13] : add(multiply(X13,inverse(X12)),X12) = add(X13,X12),
inference(forward_demodulation,[],[f67,f11]) ).
fof(f11,axiom,
! [X0] : multiply(X0,multiplicative_identity) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_id1) ).
fof(f67,plain,
! [X12,X13] : add(multiply(X13,inverse(X12)),X12) = multiply(add(X13,X12),multiplicative_identity),
inference(superposition,[],[f3,f8]) ).
fof(f3,axiom,
! [X2,X0,X1] : add(multiply(X0,X1),X2) = multiply(add(X0,X2),add(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity1) ).
fof(f453,plain,
! [X26,X25] : add(multiply(X26,X25),X25) = multiply(add(X26,multiplicative_identity),X25),
inference(superposition,[],[f5,f12]) ).
fof(f5,axiom,
! [X2,X0,X1] : multiply(add(X0,X1),X2) = add(multiply(X0,X2),multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',distributivity3) ).
fof(f60,plain,
! [X10,X11] : add(multiply(additive_identity,X11),X10) = multiply(X10,add(X11,X10)),
inference(superposition,[],[f3,f14]) ).
fof(f15,axiom,
a != multiply(a,add(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_operation) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : BOO009-2 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 29 16:09:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47 % (21900)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.47 % (21897)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)
% 0.19/0.47 % (21900)Instruction limit reached!
% 0.19/0.47 % (21900)------------------------------
% 0.19/0.47 % (21900)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (21900)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (21900)Termination reason: Unknown
% 0.19/0.48 % (21900)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (21900)Memory used [KB]: 5373
% 0.19/0.48 % (21900)Time elapsed: 0.075 s
% 0.19/0.48 % (21900)Instructions burned: 2 (million)
% 0.19/0.48 % (21900)------------------------------
% 0.19/0.48 % (21900)------------------------------
% 0.19/0.49 % (21907)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.49 % (21912)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)
% 0.19/0.50 % (21915)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)
% 0.19/0.50 % (21897)First to succeed.
% 0.19/0.50 % (21904)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.50 % (21897)Refutation found. Thanks to Tanya!
% 0.19/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.50 % (21897)------------------------------
% 0.19/0.50 % (21897)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.50 % (21897)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.50 % (21897)Termination reason: Refutation
% 0.19/0.50
% 0.19/0.50 % (21897)Memory used [KB]: 5884
% 0.19/0.50 % (21897)Time elapsed: 0.099 s
% 0.19/0.50 % (21897)Instructions burned: 41 (million)
% 0.19/0.50 % (21897)------------------------------
% 0.19/0.50 % (21897)------------------------------
% 0.19/0.50 % (21888)Success in time 0.158 s
%------------------------------------------------------------------------------