TSTP Solution File: SWV679-1 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% 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 : n026.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 18:53:48 EDT 2022
% Result : Unsatisfiable 0.15s 0.55s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 20 ( 9 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 18 ( 11 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-3 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1649,plain,
$false,
inference(unit_resulting_resolution,[],[f639,f968,f604]) ).
fof(f604,axiom,
! [X8,X7] :
( c_lessequals(X8,X7,tc_nat)
| c_lessequals(X7,X8,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nat__le__linear_0) ).
fof(f968,plain,
~ c_lessequals(v_m,v_n,tc_nat),
inference(unit_resulting_resolution,[],[f641,f824,f691,f568]) ).
fof(f568,axiom,
! [X0,X1,X8,X7] :
( ~ c_lessequals(X7,X8,tc_nat)
| c_HOL_Ozero__class_Ozero(X0) = X1
| ~ class_Ring__and__Field_Ofield(X0)
| c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(X1,X0),c_HOL_Ominus__class_Ominus(X8,X7,tc_nat),X0) = c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(X1,X7,X0),c_Power_Opower__class_Opower(X1,X8,X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_power__diff__inverse_0) ).
fof(f691,plain,
v_a != c_HOL_Ozero__class_Ozero(t_a),
inference(unit_resulting_resolution,[],[f641,f426]) ).
fof(f426,axiom,
( ~ class_Ring__and__Field_Ofield(t_a)
| v_a != c_HOL_Ozero__class_Ozero(t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_nz_0) ).
fof(f824,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Oinverse(v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference(backward_demodulation,[],[f689,f712]) ).
fof(f712,plain,
! [X0] : c_HOL_Oinverse__class_Oinverse(X0,t_a) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),X0,t_a),
inference(unit_resulting_resolution,[],[f641,f556]) ).
fof(f556,axiom,
! [X0,X1] :
( ~ class_Ring__and__Field_Ofield(X0)
| c_HOL_Oinverse__class_Oinverse(X1,X0) = c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X0),X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_inverse__eq__divide_0) ).
fof(f689,plain,
c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a),
inference(subsumption_resolution,[],[f642,f639]) ).
fof(f642,axiom,
( c_lessequals(v_n,v_m,tc_nat)
| c_HOL_Oinverse__class_Odivide(c_Power_Opower__class_Opower(v_a,v_m,t_a),c_Power_Opower__class_Opower(v_a,v_n,t_a),t_a) != c_Power_Opower__class_Opower(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(t_a),v_a,t_a),c_HOL_Ominus__class_Ominus(v_n,v_m,tc_nat),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f641,axiom,
class_Ring__and__Field_Ofield(t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f639,axiom,
~ c_lessequals(v_n,v_m,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : SWV679-1 : TPTP v8.1.0. Released v4.1.0.
% 0.09/0.09 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.09/0.30 % Computer : n026.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue Aug 30 20:04:51 EDT 2022
% 0.09/0.30 % CPUTime :
% 0.15/0.42 % (24080)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.15/0.45 % (24088)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.15/0.47 % (24080)Instruction limit reached!
% 0.15/0.47 % (24080)------------------------------
% 0.15/0.47 % (24080)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.47 % (24080)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.47 % (24080)Termination reason: Unknown
% 0.15/0.47 % (24080)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (24080)Memory used [KB]: 2302
% 0.15/0.47 % (24080)Time elapsed: 0.076 s
% 0.15/0.47 % (24080)Instructions burned: 29 (million)
% 0.15/0.47 % (24080)------------------------------
% 0.15/0.47 % (24080)------------------------------
% 0.15/0.48 % (24074)lrs+1011_1:1_atotf=0.0306256:ep=RST:mep=off:nm=0:sos=all:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.48 % (24076)lrs+1004_1:734_av=off:awrs=converge:awrsf=70:br=off:ep=RSTC:erd=off:gs=on:nwc=3.0:s2a=on:s2agt=16:sp=occurrence:updr=off:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.48 % (24074)Instruction limit reached!
% 0.15/0.48 % (24074)------------------------------
% 0.15/0.48 % (24074)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.48 % (24074)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.48 % (24074)Termination reason: Unknown
% 0.15/0.48 % (24074)Termination phase: Equality proxy
% 0.15/0.48
% 0.15/0.48 % (24074)Memory used [KB]: 1918
% 0.15/0.48 % (24074)Time elapsed: 0.004 s
% 0.15/0.48 % (24074)Instructions burned: 3 (million)
% 0.15/0.48 % (24074)------------------------------
% 0.15/0.48 % (24074)------------------------------
% 0.15/0.49 % (24076)Instruction limit reached!
% 0.15/0.49 % (24076)------------------------------
% 0.15/0.49 % (24076)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (24076)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (24076)Termination reason: Unknown
% 0.15/0.49 % (24076)Termination phase: Property scanning
% 0.15/0.49
% 0.15/0.49 % (24076)Memory used [KB]: 1918
% 0.15/0.49 % (24076)Time elapsed: 0.005 s
% 0.15/0.49 % (24076)Instructions burned: 6 (million)
% 0.15/0.49 % (24076)------------------------------
% 0.15/0.49 % (24076)------------------------------
% 0.15/0.49 % (24082)lrs+1_1:1_aac=none:add=large:anc=all_dependent:cond=fast:ep=RST:fsr=off:lma=on:nm=2:sos=on:sp=reverse_arity:stl=30:uhcvi=on:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.15/0.49 % (24082)Instruction limit reached!
% 0.15/0.49 % (24082)------------------------------
% 0.15/0.49 % (24082)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.49 % (24082)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.49 % (24082)Termination reason: Unknown
% 0.15/0.49 % (24082)Termination phase: shuffling
% 0.15/0.49
% 0.15/0.49 % (24082)Memory used [KB]: 1791
% 0.15/0.49 % (24082)Time elapsed: 0.004 s
% 0.15/0.49 % (24082)Instructions burned: 2 (million)
% 0.15/0.49 % (24082)------------------------------
% 0.15/0.49 % (24082)------------------------------
% 0.15/0.50 % (24090)dis+10_1:1_add=large:alpa=false:anc=none:fd=off:lcm=reverse:nwc=5.0:sd=2:sgt=20:ss=included:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/46Mi)
% 0.15/0.50 % (24092)lrs+3_8:1_anc=none:erd=off:fsd=on:s2a=on:s2agt=16:sgt=16:sos=on:sp=frequency:ss=included:i=71:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/71Mi)
% 0.15/0.51 % (24084)lrs+1003_1:1024_add=large:afr=on:cond=fast:fsr=off:gs=on:sos=on:sp=reverse_arity:i=28:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/28Mi)
% 0.15/0.53 % (24072)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.15/0.53 % (24078)lrs+10_1:1_drc=off:sp=reverse_frequency:spb=goal:to=lpo:i=5:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/5Mi)
% 0.15/0.54 % (24071)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.15/0.54 % (24068)lrs+10_1:16_awrs=converge:awrsf=40:br=off:ep=RSTC:flr=on:gsp=on:nwc=3.0:sos=on:urr=on:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.15/0.54 % (24068)Instruction limit reached!
% 0.15/0.54 % (24068)------------------------------
% 0.15/0.54 % (24068)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (24068)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (24068)Termination reason: Unknown
% 0.15/0.54 % (24068)Termination phase: General splitting
% 0.15/0.54
% 0.15/0.54 % (24068)Memory used [KB]: 1918
% 0.15/0.54 % (24068)Time elapsed: 0.004 s
% 0.15/0.54 % (24068)Instructions burned: 4 (million)
% 0.15/0.54 % (24068)------------------------------
% 0.15/0.54 % (24068)------------------------------
% 0.15/0.54 % (24079)lrs+30_1:12_av=off:bs=unit_only:fsd=on:gs=on:lwlo=on:newcnf=on:slsq=on:slsqr=1,2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.15/0.54 % (24079)Instruction limit reached!
% 0.15/0.54 % (24079)------------------------------
% 0.15/0.54 % (24079)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.54 % (24079)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.54 % (24079)Termination reason: Unknown
% 0.15/0.54 % (24079)Termination phase: SInE selection
% 0.15/0.54
% 0.15/0.54 % (24079)Memory used [KB]: 1791
% 0.15/0.54 % (24079)Time elapsed: 0.003 s
% 0.15/0.54 % (24079)Instructions burned: 3 (million)
% 0.15/0.54 % (24079)------------------------------
% 0.15/0.54 % (24079)------------------------------
% 0.15/0.54 % (24088)First to succeed.
% 0.15/0.54 % (24089)lrs+1011_1:1_aac=none:bsr=unit_only:ep=R:sac=on:sos=all:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.15/0.54 % (24087)lrs+1010_1:1_bd=off:fsr=off:sd=1:sos=on:ss=axioms:i=67:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/67Mi)
% 0.15/0.55 % (24086)lrs+10_1:7_av=off:awrs=converge:awrsf=40:br=off:bsd=on:cond=on:drc=off:nwc=3.0:plsq=on:plsqc=1:s2a=on:s2agt=16:to=lpo:urr=on:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.15/0.55 % (24088)Refutation found. Thanks to Tanya!
% 0.15/0.55 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.55 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.55 % (24088)------------------------------
% 0.15/0.55 % (24088)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.15/0.55 % (24088)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.15/0.55 % (24088)Termination reason: Refutation
% 0.15/0.55
% 0.15/0.55 % (24088)Memory used [KB]: 7547
% 0.15/0.55 % (24088)Time elapsed: 0.168 s
% 0.15/0.55 % (24088)Instructions burned: 82 (million)
% 0.15/0.55 % (24088)------------------------------
% 0.15/0.55 % (24088)------------------------------
% 0.15/0.55 % (24065)Success in time 0.24 s
%------------------------------------------------------------------------------