TSTP Solution File: ARI691_1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : ARI691_1 : TPTP v8.1.0. Released v6.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --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 15:46:53 EDT 2022
% Result : Theorem 0.18s 0.51s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 10 unt; 3 typ; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of FOOLs : 1 ( 1 fml; 0 var)
% Number arithmetic : 20 ( 0 atm; 18 fun; 0 num; 2 var)
% Number of types : 1 ( 0 usr; 1 ari)
% Number of type conns : 1 ( 1 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?; 2 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
a: $int ).
tff(func_def_1,type,
b: $int ).
tff(func_def_2,type,
f: $int > $int ).
tff(f28,plain,
$false,
inference(subsumption_resolution,[],[f27,f15]) ).
tff(f15,plain,
! [X0: $int,X1: $int] : ( $product(X0,X1) = $product(X1,X0) ),
introduced(theory_axiom_140,[]) ).
tff(f27,plain,
$product(a,b) != $product(b,a),
inference(forward_demodulation,[],[f26,f24]) ).
tff(f24,plain,
$product(a,b) = f($product(a,b)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
$product(a,b) = f($product(a,b)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',eq) ).
tff(f26,plain,
f($product(a,b)) != $product(b,a),
inference(backward_demodulation,[],[f23,f24]) ).
tff(f23,plain,
f(f($product(a,b))) != $product(b,a),
inference(cnf_transformation,[],[f22]) ).
tff(f22,plain,
f(f($product(a,b))) != $product(b,a),
inference(flattening,[],[f3]) ).
tff(f3,negated_conjecture,
( ( ~ f(f($product(a,b))) )
= $product(b,a) ),
inference(negated_conjecture,[],[f2]) ).
tff(f2,conjecture,
f(f($product(a,b))) = $product(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ARI691=1 : TPTP v8.1.0. Released v6.3.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Aug 29 15:57:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49 % (29912)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/8Mi)
% 0.18/0.50 % (29914)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.50 % (29911)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/34Mi)
% 0.18/0.50 % (29933)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.50 % (29914)First to succeed.
% 0.18/0.50 % (29919)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.50 % (29919)Instruction limit reached!
% 0.18/0.50 % (29919)------------------------------
% 0.18/0.50 % (29919)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50 % (29919)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50 % (29919)Termination reason: Unknown
% 0.18/0.50 % (29919)Termination phase: Saturation
% 0.18/0.50
% 0.18/0.50 % (29919)Memory used [KB]: 5373
% 0.18/0.50 % (29919)Time elapsed: 0.099 s
% 0.18/0.50 % (29919)Instructions burned: 3 (million)
% 0.18/0.50 % (29919)------------------------------
% 0.18/0.50 % (29919)------------------------------
% 0.18/0.50 % (29917)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.18/0.50 % (29938)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/21Mi)
% 0.18/0.50 % (29925)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.51 % (29925)Instruction limit reached!
% 0.18/0.51 % (29925)------------------------------
% 0.18/0.51 % (29925)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (29914)Refutation found. Thanks to Tanya!
% 0.18/0.51 % SZS status Theorem for theBenchmark
% 0.18/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.51 % (29914)------------------------------
% 0.18/0.51 % (29914)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.51 % (29914)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.51 % (29914)Termination reason: Refutation
% 0.18/0.51
% 0.18/0.51 % (29914)Memory used [KB]: 5500
% 0.18/0.51 % (29914)Time elapsed: 0.005 s
% 0.18/0.51 % (29914)Instructions burned: 3 (million)
% 0.18/0.51 % (29914)------------------------------
% 0.18/0.51 % (29914)------------------------------
% 0.18/0.51 % (29909)Success in time 0.164 s
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