TSTP Solution File: LCL132-1 by SnakeForV---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : LCL132-1 : 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_uns --cores 0 -t %d %s
% Computer : n008.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 17:39:02 EDT 2022
% Result : Unsatisfiable 0.18s 0.55s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 10 unt; 0 def)
% Number of atoms : 18 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 9 ~; 4 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 21 ( 21 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f152,plain,
$false,
inference(unit_resulting_resolution,[],[f10,f10,f87,f12]) ).
fof(f12,plain,
! [X2,X3,X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(implies(X0,X2),implies(X1,X3))
| ~ sQ0_eqProxy(X2,X3) ),
inference(equality_proxy_axiom,[],[f6]) ).
fof(f6,plain,
! [X0,X1] :
( sQ0_eqProxy(X0,X1)
<=> X0 = X1 ),
introduced(equality_proxy_definition,[new_symbols(naming,[sQ0_eqProxy])]) ).
fof(f87,plain,
! [X0] : ~ sQ0_eqProxy(implies(implies(truth,X0),implies(truth,X0)),implies(x,x)),
inference(unit_resulting_resolution,[],[f10,f27,f12]) ).
fof(f27,plain,
! [X2,X0,X1] : ~ sQ0_eqProxy(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(truth,implies(x,x))),
inference(unit_resulting_resolution,[],[f7,f20,f16]) ).
fof(f16,plain,
! [X2,X0,X1] :
( ~ sQ0_eqProxy(X0,X1)
| sQ0_eqProxy(X0,X2)
| ~ sQ0_eqProxy(X1,X2) ),
inference(equality_proxy_axiom,[],[f6]) ).
fof(f20,plain,
~ sQ0_eqProxy(truth,implies(truth,implies(x,x))),
inference(unit_resulting_resolution,[],[f10,f9,f16]) ).
fof(f9,plain,
~ sQ0_eqProxy(truth,implies(x,x)),
inference(equality_proxy_replacement,[],[f5,f6]) ).
fof(f5,axiom,
truth != implies(x,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_wajsberg_lemma) ).
fof(f7,plain,
! [X2,X0,X1] : sQ0_eqProxy(truth,implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(equality_proxy_replacement,[],[f2,f6]) ).
fof(f2,axiom,
! [X2,X0,X1] : truth = implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_2) ).
fof(f10,plain,
! [X0] : sQ0_eqProxy(implies(truth,X0),X0),
inference(equality_proxy_replacement,[],[f1,f6]) ).
fof(f1,axiom,
! [X0] : implies(truth,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',wajsberg_1) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LCL132-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % 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 : n008.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 : Tue Aug 30 01:41:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.52 % (24486)dis+31_8:1_br=off:fd=off:gs=on:lcm=reverse:nm=16:nwc=5.0:sp=reverse_arity:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.53 % (24485)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.18/0.53 % (24501)dis+21_1:8_aac=none:bs=unit_only:er=filter:fd=off:nwc=5.0:s2pl=no:i=111:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/111Mi)
% 0.18/0.54 % (24484)lrs+10_1:1_avsq=on:avsql=on:bsr=unit_only:drc=off:fsr=off:inw=on:nwc=10.0:rnwc=on:sgt=16:slsq=on:slsqc=0:slsql=off:slsqr=211,119:sp=reverse_frequency:spb=goal_then_units:ss=included:st=2.0:to=lpo:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54 % (24485)First to succeed.
% 0.18/0.54 % (24493)dis+10_1:7_drc=off:fd=preordered:plsq=on:sp=reverse_frequency:to=lpo:i=212:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/212Mi)
% 0.18/0.54 % (24484)Instruction limit reached!
% 0.18/0.54 % (24484)------------------------------
% 0.18/0.54 % (24484)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (24500)lrs+10_5:1_br=off:ep=RSTC:sos=all:urr=on:i=267:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/267Mi)
% 0.18/0.55 % (24492)lrs+10_1:128_plsq=on:plsqc=2:s2a=on:ss=axioms:st=1.5:urr=on:i=321:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/321Mi)
% 0.18/0.55 % (24502)dis+10_1:1_av=off:drc=off:slsq=on:slsqc=1:slsqr=29,16:sp=reverse_frequency:to=lpo:i=248:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/248Mi)
% 0.18/0.55 % (24494)lrs+10_1:1_drc=off:fd=preordered:plsq=on:sp=occurrence:to=lpo:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.55 % (24484)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (24484)Termination reason: Unknown
% 0.18/0.55 % (24485)Refutation found. Thanks to Tanya!
% 0.18/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.55 % (24485)------------------------------
% 0.18/0.55 % (24485)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (24485)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (24485)Termination reason: Refutation
% 0.18/0.55
% 0.18/0.55 % (24485)Memory used [KB]: 5500
% 0.18/0.55 % (24485)Time elapsed: 0.114 s
% 0.18/0.55 % (24485)Instructions burned: 5 (million)
% 0.18/0.55 % (24485)------------------------------
% 0.18/0.55 % (24485)------------------------------
% 0.18/0.55 % (24477)Success in time 0.209 s
%------------------------------------------------------------------------------