TSTP Solution File: NUM846+2 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : NUM846+2 : 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 : n028.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 18:06:57 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f120,plain,
$false,
inference(trivial_inequality_removal,[],[f119]) ).
fof(f119,plain,
sF2 != sF2,
inference(superposition,[],[f81,f117]) ).
fof(f117,plain,
sF6 = sF2,
inference(forward_demodulation,[],[f115,f91]) ).
fof(f91,plain,
sF2 = vplus(vd436,sF1),
inference(superposition,[],[f54,f76]) ).
fof(f76,plain,
vplus(sF1,vd436) = sF2,
introduced(function_definition,[]) ).
fof(f54,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X10,X11] : vplus(X11,X10) = vplus(X10,X11),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(61, 0), 0)') ).
fof(f115,plain,
sF6 = vplus(vd436,sF1),
inference(superposition,[],[f98,f114]) ).
fof(f114,plain,
sF5 = sF1,
inference(forward_demodulation,[],[f113,f75]) ).
fof(f75,plain,
sF1 = vmul(vd436,sF0),
introduced(function_definition,[]) ).
fof(f113,plain,
sF5 = vmul(vd436,sF0),
inference(forward_demodulation,[],[f112,f79]) ).
fof(f79,plain,
sF5 = vplus(sF3,sF4),
introduced(function_definition,[]) ).
fof(f112,plain,
vmul(vd436,sF0) = vplus(sF3,sF4),
inference(superposition,[],[f85,f74]) ).
fof(f74,plain,
vplus(vd437,vd439) = sF0,
introduced(function_definition,[]) ).
fof(f85,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(sF3,sF4),
inference(forward_demodulation,[],[f84,f54]) ).
fof(f84,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(sF4,sF3),
inference(forward_demodulation,[],[f83,f77]) ).
fof(f77,plain,
vmul(vd436,vd437) = sF3,
introduced(function_definition,[]) ).
fof(f83,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(sF4,vmul(vd436,vd437)),
inference(forward_demodulation,[],[f82,f54]) ).
fof(f82,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),sF4),
inference(forward_demodulation,[],[f58,f78]) ).
fof(f78,plain,
vmul(vd436,vd439) = sF4,
introduced(function_definition,[]) ).
fof(f58,plain,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
inference(cnf_transformation,[],[f5]) ).
fof(f5,axiom,
vmul(vd436,vplus(vd437,vd439)) = vplus(vmul(vd436,vd437),vmul(vd436,vd439)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(285, 440, 0)') ).
fof(f98,plain,
sF6 = vplus(vd436,sF5),
inference(superposition,[],[f80,f54]) ).
fof(f80,plain,
sF6 = vplus(sF5,vd436),
introduced(function_definition,[]) ).
fof(f81,plain,
sF6 != sF2,
inference(definition_folding,[],[f51,f80,f79,f78,f77,f76,f75,f74]) ).
fof(f51,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(cnf_transformation,[],[f33]) ).
fof(f33,plain,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) != vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
vplus(vmul(vd436,vplus(vd437,vd439)),vd436) = vplus(vplus(vmul(vd436,vd437),vmul(vd436,vd439)),vd436),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(286, 441, 2)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM846+2 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 30 09:11:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49 % (20596)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.49 % (20596)First to succeed.
% 0.20/0.49 % (20603)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.50 % (20596)Refutation found. Thanks to Tanya!
% 0.20/0.50 % SZS status Theorem for theBenchmark
% 0.20/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.50 % (20596)------------------------------
% 0.20/0.50 % (20596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.50 % (20596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.50 % (20596)Termination reason: Refutation
% 0.20/0.50
% 0.20/0.50 % (20596)Memory used [KB]: 5500
% 0.20/0.50 % (20596)Time elapsed: 0.079 s
% 0.20/0.50 % (20596)Instructions burned: 5 (million)
% 0.20/0.50 % (20596)------------------------------
% 0.20/0.50 % (20596)------------------------------
% 0.20/0.50 % (20584)Success in time 0.144 s
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