TSTP Solution File: RNG003-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n009.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 : Fri Sep 1 21:57:03 EDT 2023
% Result : Unsatisfiable 0.18s 0.42s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of formulae : 24 ( 18 unt; 0 def)
% Number of atoms : 36 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 19 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 41 (; 41 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f692,plain,
$false,
inference(subsumption_resolution,[],[f687,f510]) ).
fof(f510,plain,
! [X0,X1] : sP2(X0,additive_inverse(X1),X0,X1),
inference(forward_demodulation,[],[f454,f105]) ).
fof(f105,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(unit_resulting_resolution,[],[f4,f2,f16]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| X2 = X4
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',addition_is_well_defined) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',additive_identity2) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',closure_of_addition) ).
fof(f454,plain,
! [X0,X1] : sP2(add(X0,additive_identity),additive_inverse(X1),X0,X1),
inference(unit_resulting_resolution,[],[f47,f5,f25]) ).
fof(f25,plain,
! [X2,X3,X0,X1,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X5)
| sP2(X5,X0,X3,X1) ),
inference(cnf_transformation,[],[f25_D]) ).
fof(f25_D,plain,
! [X1,X3,X0,X5] :
( ! [X2] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X5) )
<=> ~ sP2(X5,X0,X3,X1) ),
introduced(general_splitting_component_introduction,[new_symbols(naming,[sP2])]) ).
fof(f5,axiom,
! [X0] : sum(additive_inverse(X0),X0,additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',left_inverse) ).
fof(f47,plain,
! [X0,X1] : sum(X0,X1,add(X1,X0)),
inference(unit_resulting_resolution,[],[f4,f9]) ).
fof(f9,axiom,
! [X3,X0,X1] :
( ~ sum(X0,X1,X3)
| sum(X1,X0,X3) ),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',commutativity_of_addition) ).
fof(f687,plain,
~ sP2(a,additive_inverse(c),a,c),
inference(unit_resulting_resolution,[],[f50,f684,f26]) ).
fof(f26,plain,
! [X3,X0,X1,X4,X5] :
( ~ sP2(X5,X0,X3,X1)
| sum(X0,X4,X5)
| ~ sum(X1,X3,X4) ),
inference(general_splitting,[],[f7,f25_D]) ).
fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ sum(X0,X1,X2)
| ~ sum(X2,X3,X5)
| ~ sum(X1,X3,X4)
| sum(X0,X4,X5) ),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',associativity_of_addition1) ).
fof(f684,plain,
~ sum(additive_inverse(c),d,a),
inference(unit_resulting_resolution,[],[f679,f9]) ).
fof(f679,plain,
~ sum(d,additive_inverse(c),a),
inference(unit_resulting_resolution,[],[f19,f519,f25]) ).
fof(f519,plain,
! [X0] : ~ sP2(a,b,additive_inverse(X0),X0),
inference(unit_resulting_resolution,[],[f6,f100,f26]) ).
fof(f100,plain,
~ sum(b,additive_identity,a),
inference(unit_resulting_resolution,[],[f20,f2,f16]) ).
fof(f20,axiom,
a != b,
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',prove_a_equals_b) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',right_inverse) ).
fof(f19,axiom,
sum(b,c,d),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',b_plus_c_is_d) ).
fof(f50,plain,
sum(c,a,d),
inference(unit_resulting_resolution,[],[f18,f9]) ).
fof(f18,axiom,
sum(a,c,d),
file('/export/starexec/sandbox2/tmp/tmp.E7ancFRFjb/Vampire---4.8_3637',a_plus_c_is_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.12/0.34 % Computer : n009.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 : Wed Aug 30 16:00:49 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.18/0.40 % (3743)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.41 % (3750)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 Vampire---4 for (497ds/0Mi)
% 0.18/0.41 % (3745)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.18/0.41 % (3747)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.18/0.41 % (3744)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.18/0.41 % (3746)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 Vampire---4 for (569ds/0Mi)
% 0.18/0.41 % (3748)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 Vampire---4 for (531ds/0Mi)
% 0.18/0.41 % (3749)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 Vampire---4 for (522ds/0Mi)
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.41 TRYING [3]
% 0.18/0.41 TRYING [1]
% 0.18/0.41 TRYING [2]
% 0.18/0.42 % (3750)First to succeed.
% 0.18/0.42 % (3750)Refutation found. Thanks to Tanya!
% 0.18/0.42 % SZS status Unsatisfiable for Vampire---4
% 0.18/0.42 % SZS output start Proof for Vampire---4
% See solution above
% 0.18/0.42 % (3750)------------------------------
% 0.18/0.42 % (3750)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.18/0.42 % (3750)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.18/0.42 % (3750)Termination reason: Refutation
% 0.18/0.42
% 0.18/0.42 % (3750)Memory used [KB]: 1151
% 0.18/0.42 % (3750)Time elapsed: 0.012 s
% 0.18/0.42 % (3750)------------------------------
% 0.18/0.42 % (3750)------------------------------
% 0.18/0.42 % (3743)Success in time 0.074 s
% 0.18/0.42 % Vampire---4.8 exiting
%------------------------------------------------------------------------------