TSTP Solution File: RNG002-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 : Tue Apr 30 14:49:41 EDT 2024
% Result : Unsatisfiable 0.23s 0.40s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of formulae : 25 ( 19 unt; 0 def)
% Number of atoms : 37 ( 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 : 42 ( 42 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f678,plain,
$false,
inference(subsumption_resolution,[],[f673,f506]) ).
fof(f506,plain,
! [X0,X1] : sP2(X0,additive_inverse(X1),X0,X1),
inference(forward_demodulation,[],[f479,f106]) ).
fof(f106,plain,
! [X0] : add(X0,additive_identity) = X0,
inference(unit_resulting_resolution,[],[f47,f1,f16]) ).
fof(f16,axiom,
! [X2,X0,X1,X4] :
( ~ sum(X0,X1,X4)
| X2 = X4
| ~ sum(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',addition_is_well_defined) ).
fof(f1,axiom,
! [X0] : sum(additive_identity,X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity1) ).
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/sandbox/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X0,X1] : sum(X0,X1,add(X0,X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',closure_of_addition) ).
fof(f479,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/sandbox/benchmark/theBenchmark.p',left_inverse) ).
fof(f673,plain,
~ sP2(b,additive_inverse(a),b,a),
inference(unit_resulting_resolution,[],[f18,f670,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/sandbox/benchmark/theBenchmark.p',associativity_of_addition1) ).
fof(f670,plain,
~ sum(additive_inverse(a),d,b),
inference(unit_resulting_resolution,[],[f661,f9]) ).
fof(f661,plain,
~ sum(d,additive_inverse(a),b),
inference(unit_resulting_resolution,[],[f51,f513,f25]) ).
fof(f513,plain,
! [X0] : ~ sP2(b,c,additive_inverse(X0),X0),
inference(unit_resulting_resolution,[],[f6,f69,f26]) ).
fof(f69,plain,
~ sum(c,additive_identity,b),
inference(unit_resulting_resolution,[],[f20,f2,f16]) ).
fof(f2,axiom,
! [X0] : sum(X0,additive_identity,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity2) ).
fof(f20,axiom,
b != c,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_b_equals_c) ).
fof(f6,axiom,
! [X0] : sum(X0,additive_inverse(X0),additive_identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_inverse) ).
fof(f51,plain,
sum(c,a,d),
inference(unit_resulting_resolution,[],[f19,f9]) ).
fof(f19,axiom,
sum(a,c,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_c_is_d) ).
fof(f18,axiom,
sum(a,b,d),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',a_plus_b_is_d) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG002-1 : TPTP v8.1.2. Released v1.0.0.
% 0.07/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n021.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Apr 30 02:13:10 EDT 2024
% 0.16/0.37 % CPUTime :
% 0.16/0.37 % (21751)Running in auto input_syntax mode. Trying TPTP
% 0.16/0.39 % (21754)WARNING: value z3 for option sas not known
% 0.16/0.39 % (21753)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.16/0.39 % (21752)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.16/0.39 % (21757)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 theBenchmark for (522ds/0Mi)
% 0.16/0.39 % (21755)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.16/0.39 % (21756)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 theBenchmark for (531ds/0Mi)
% 0.16/0.39 % (21758)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 theBenchmark for (497ds/0Mi)
% 0.16/0.39 % (21754)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 theBenchmark for (569ds/0Mi)
% 0.16/0.39 TRYING [1]
% 0.16/0.39 TRYING [2]
% 0.16/0.39 TRYING [3]
% 0.16/0.39 TRYING [1]
% 0.16/0.40 TRYING [2]
% 0.23/0.40 % (21758)First to succeed.
% 0.23/0.40 TRYING [1]
% 0.23/0.40 % (21758)Refutation found. Thanks to Tanya!
% 0.23/0.40 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.40 % (21758)------------------------------
% 0.23/0.40 % (21758)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.40 % (21758)Termination reason: Refutation
% 0.23/0.40
% 0.23/0.40 % (21758)Memory used [KB]: 919
% 0.23/0.40 % (21758)Time elapsed: 0.014 s
% 0.23/0.40 % (21758)Instructions burned: 21 (million)
% 0.23/0.40 % (21758)------------------------------
% 0.23/0.40 % (21758)------------------------------
% 0.23/0.40 % (21751)Success in time 0.031 s
%------------------------------------------------------------------------------