TSTP Solution File: NUM844+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM844+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_sat --cores 0 -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 : Wed Aug 31 18:06:56 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 45 ( 39 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 16 ( 10 ~; 0 |; 6 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f330,plain,
$false,
inference(subsumption_resolution,[],[f329,f327]) ).
fof(f327,plain,
vmul(vplus(vd411,v1),vplus(vd413,v1)) = vplus(vd411,vplus(vd413,vplus(v1,vmul(vd411,vd413)))),
inference(forward_demodulation,[],[f326,f304]) ).
fof(f304,plain,
! [X8,X6,X7] : vplus(X6,vplus(X7,X8)) = vplus(X8,vplus(X6,X7)),
inference(superposition,[],[f189,f227]) ).
fof(f227,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f163]) ).
fof(f163,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f68]) ).
fof(f68,plain,
! [X1,X0] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f46]) ).
fof(f46,axiom,
! [X66,X67] : vplus(X67,X66) = vplus(X66,X67),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f189,plain,
! [X2,X0,X1] : vplus(vplus(X1,X0),X2) = vplus(X1,vplus(X0,X2)),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0,X1,X2] : vplus(vplus(X1,X0),X2) = vplus(X1,vplus(X0,X2)),
inference(rectify,[],[f73]) ).
fof(f73,plain,
! [X1,X0,X2] : vplus(vplus(X0,X1),X2) = vplus(X0,vplus(X1,X2)),
inference(rectify,[],[f49]) ).
fof(f49,axiom,
! [X71,X72,X73] : vplus(vplus(X71,X72),X73) = vplus(X71,vplus(X72,X73)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(33, 0), 0)') ).
fof(f326,plain,
vplus(vd411,vplus(v1,vplus(vmul(vd411,vd413),vd413))) = vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f325,f304]) ).
fof(f325,plain,
vmul(vplus(vd411,v1),vplus(vd413,v1)) = vplus(vd411,vplus(vmul(vd411,vd413),vplus(vd413,v1))),
inference(forward_demodulation,[],[f323,f322]) ).
fof(f322,plain,
! [X2,X0,X1] : vplus(X1,vplus(X0,X2)) = vplus(X0,vplus(X1,X2)),
inference(forward_demodulation,[],[f300,f189]) ).
fof(f300,plain,
! [X2,X0,X1] : vplus(vplus(X1,X0),X2) = vplus(X0,vplus(X1,X2)),
inference(superposition,[],[f189,f227]) ).
fof(f323,plain,
vplus(vmul(vd411,vd413),vplus(vd411,vplus(vd413,v1))) = vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(backward_demodulation,[],[f265,f322]) ).
fof(f265,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) = vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f264,f189]) ).
fof(f264,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vplus(vd411,v1)) = vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f252,f245]) ).
fof(f245,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vplus(X0,v1)),
inference(definition_unfolding,[],[f203,f186]) ).
fof(f186,plain,
! [X1] : vsucc(X1) = vplus(X1,v1),
inference(cnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0,X1] :
( vsucc(X1) = vplus(X1,v1)
& vplus(X1,vsucc(X0)) = vsucc(vplus(X1,X0)) ),
inference(rectify,[],[f58]) ).
fof(f58,plain,
! [X1,X0] :
( vplus(X0,v1) = vsucc(X0)
& vsucc(vplus(X0,X1)) = vplus(X0,vsucc(X1)) ),
inference(rectify,[],[f50]) ).
fof(f50,axiom,
! [X74,X75] :
( vplus(X74,v1) = vsucc(X74)
& vplus(X74,vsucc(X75)) = vsucc(vplus(X74,X75)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 3), and(holds(definiens(29), 45, 0), holds(definiens(29), 44, 0)))') ).
fof(f203,plain,
! [X0,X1] : vplus(vmul(X1,X0),X1) = vmul(X1,vsucc(X0)),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0,X1] :
( vmul(X1,v1) = X1
& vplus(vmul(X1,X0),X1) = vmul(X1,vsucc(X0)) ),
inference(rectify,[],[f66]) ).
fof(f66,plain,
! [X1,X0] :
( vmul(X0,v1) = X0
& vmul(X0,vsucc(X1)) = vplus(vmul(X0,X1),X0) ),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X1,X2] :
( vmul(X1,vsucc(X2)) = vplus(vmul(X1,X2),X1)
& vmul(X1,v1) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','qu(cond(conseq(axiom(3)), 32), and(holds(definiens(249), 399, 0), holds(definiens(249), 398, 0)))') ).
fof(f252,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vplus(vd411,v1)) = vplus(vmul(vplus(vd411,v1),vd413),vplus(vd411,v1)),
inference(definition_unfolding,[],[f234,f186,f186,f186]) ).
fof(f234,plain,
vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
vplus(vplus(vmul(vd411,vd413),vd413),vsucc(vd411)) = vplus(vmul(vsucc(vd411),vd413),vsucc(vd411)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 1)') ).
fof(f329,plain,
vmul(vplus(vd411,v1),vplus(vd413,v1)) != vplus(vd411,vplus(vd413,vplus(v1,vmul(vd411,vd413)))),
inference(forward_demodulation,[],[f328,f304]) ).
fof(f328,plain,
vplus(vd411,vplus(v1,vplus(vmul(vd411,vd413),vd413))) != vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f324,f304]) ).
fof(f324,plain,
vmul(vplus(vd411,v1),vplus(vd413,v1)) != vplus(vd411,vplus(vmul(vd411,vd413),vplus(vd413,v1))),
inference(backward_demodulation,[],[f268,f322]) ).
fof(f268,plain,
vplus(vmul(vd411,vd413),vplus(vd411,vplus(vd413,v1))) != vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f267,f251]) ).
fof(f251,plain,
! [X0] : vplus(v1,X0) = vplus(X0,v1),
inference(definition_unfolding,[],[f230,f186]) ).
fof(f230,plain,
! [X0] : vplus(v1,X0) = vsucc(X0),
inference(cnf_transformation,[],[f56]) ).
fof(f56,plain,
! [X0] : vplus(v1,X0) = vsucc(X0),
inference(rectify,[],[f48]) ).
fof(f48,axiom,
! [X70] : vplus(v1,X70) = vsucc(X70),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(43, 0), 0)') ).
fof(f267,plain,
vplus(vmul(vd411,vd413),vplus(vd411,vplus(v1,vd413))) != vmul(vplus(vd411,v1),vplus(vd413,v1)),
inference(forward_demodulation,[],[f266,f265]) ).
fof(f266,plain,
vplus(vmul(vd411,vd413),vplus(vd411,vplus(v1,vd413))) != vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))),
inference(forward_demodulation,[],[f242,f189]) ).
fof(f242,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vplus(vd411,v1))) != vplus(vmul(vd411,vd413),vplus(vplus(vd411,v1),vd413)),
inference(definition_unfolding,[],[f187,f186,f186]) ).
fof(f187,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(cnf_transformation,[],[f88]) ).
fof(f88,plain,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) != vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd411,vd413),vplus(vd413,vsucc(vd411))) = vplus(vmul(vd411,vd413),vplus(vsucc(vd411),vd413)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(266, 415, 3)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : NUM844+1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33 % Computer : n009.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 08:59:50 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.45 % (4216)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.19/0.46 % (4208)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.47 % (4216)First to succeed.
% 0.19/0.47 % (4200)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (4208)Also succeeded, but the first one will report.
% 0.19/0.48 % (4216)Refutation found. Thanks to Tanya!
% 0.19/0.48 % SZS status Theorem for theBenchmark
% 0.19/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.48 % (4216)------------------------------
% 0.19/0.48 % (4216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (4216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (4216)Termination reason: Refutation
% 0.19/0.48
% 0.19/0.48 % (4216)Memory used [KB]: 5628
% 0.19/0.48 % (4216)Time elapsed: 0.076 s
% 0.19/0.48 % (4216)Instructions burned: 9 (million)
% 0.19/0.48 % (4216)------------------------------
% 0.19/0.48 % (4216)------------------------------
% 0.19/0.48 % (4190)Success in time 0.137 s
%------------------------------------------------------------------------------