TSTP Solution File: NUM852+2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : NUM852+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_uns --cores 0 -t %d %s
% Computer : n002.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 18:02:36 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 34 ( 20 unt; 0 def)
% Number of atoms : 60 ( 30 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 44 ( 18 ~; 14 |; 6 &)
% ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-2 aty)
% Number of variables : 70 ( 60 !; 10 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f284,plain,
$false,
inference(resolution,[],[f224,f89]) ).
fof(f89,plain,
~ greater(vmul(vd481,vd469),vmul(vd469,vd480)),
inference(forward_demodulation,[],[f66,f82]) ).
fof(f82,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(cnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0,X1] : vmul(X0,X1) = vmul(X1,X0),
inference(rectify,[],[f12]) ).
fof(f12,axiom,
! [X11,X10] : vmul(X10,X11) = vmul(X11,X10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(270, 0), 0)') ).
fof(f66,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(flattening,[],[f2]) ).
fof(f2,negated_conjecture,
~ greater(vmul(vd481,vd469),vmul(vd480,vd469)),
inference(negated_conjecture,[],[f1]) ).
fof(f1,conjecture,
greater(vmul(vd481,vd469),vmul(vd480,vd469)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(conseq_conjunct1(conseq_conjunct2(conseq(304))), 484, 0)') ).
fof(f224,plain,
! [X1] : greater(vmul(vd481,X1),vmul(X1,vd480)),
inference(superposition,[],[f205,f82]) ).
fof(f205,plain,
! [X0] : greater(vmul(X0,vd481),vmul(X0,vd480)),
inference(superposition,[],[f175,f101]) ).
fof(f101,plain,
vd481 = vplus(vd480,sK0(vd480,vd481)),
inference(resolution,[],[f64,f69]) ).
fof(f69,plain,
less(vd480,vd481),
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
less(vd480,vd481),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','holds(antec(304), 482, 0)') ).
fof(f64,plain,
! [X0,X1] :
( ~ less(X0,X1)
| vplus(X0,sK0(X0,X1)) = X1 ),
inference(cnf_transformation,[],[f50]) ).
fof(f50,plain,
! [X0,X1] :
( ( vplus(X0,sK0(X0,X1)) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f48,f49]) ).
fof(f49,plain,
! [X0,X1] :
( ? [X2] : vplus(X0,X2) = X1
=> vplus(X0,sK0(X0,X1)) = X1 ),
introduced(choice_axiom,[]) ).
fof(f48,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X0,X2) = X1
| ~ less(X0,X1) )
& ( less(X0,X1)
| ! [X3] : vplus(X0,X3) != X1 ) ),
inference(rectify,[],[f47]) ).
fof(f47,plain,
! [X1,X0] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ less(X1,X0) )
& ( less(X1,X0)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f28]) ).
fof(f28,plain,
! [X1,X0] :
( ? [X2] : vplus(X1,X2) = X0
<=> less(X1,X0) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X20,X21] :
( ? [X22] : vplus(X21,X22) = X20
<=> less(X21,X20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f175,plain,
! [X10,X8,X9] : greater(vmul(X8,vplus(X9,X10)),vmul(X8,X9)),
inference(superposition,[],[f87,f74]) ).
fof(f74,plain,
! [X2,X0,X1] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(cnf_transformation,[],[f53]) ).
fof(f53,plain,
! [X0,X1,X2] : vmul(X2,vplus(X1,X0)) = vplus(vmul(X2,X1),vmul(X2,X0)),
inference(rectify,[],[f29]) ).
fof(f29,plain,
! [X2,X0,X1] : vplus(vmul(X1,X0),vmul(X1,X2)) = vmul(X1,vplus(X0,X2)),
inference(rectify,[],[f11]) ).
fof(f11,axiom,
! [X8,X7,X9] : vmul(X7,vplus(X8,X9)) = vplus(vmul(X7,X8),vmul(X7,X9)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','ass(cond(281, 0), 0)') ).
fof(f87,plain,
! [X3,X1] : greater(vplus(X1,X3),X1),
inference(equality_resolution,[],[f75]) ).
fof(f75,plain,
! [X3,X0,X1] :
( greater(X0,X1)
| vplus(X1,X3) != X0 ),
inference(cnf_transformation,[],[f57]) ).
fof(f57,plain,
! [X0,X1] :
( ( vplus(X1,sK1(X0,X1)) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1])],[f55,f56]) ).
fof(f56,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
=> vplus(X1,sK1(X0,X1)) = X0 ),
introduced(choice_axiom,[]) ).
fof(f55,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X3] : vplus(X1,X3) != X0 ) ),
inference(rectify,[],[f54]) ).
fof(f54,plain,
! [X0,X1] :
( ( ? [X2] : vplus(X1,X2) = X0
| ~ greater(X0,X1) )
& ( greater(X0,X1)
| ! [X2] : vplus(X1,X2) != X0 ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0,X1] :
( ? [X2] : vplus(X1,X2) = X0
<=> greater(X0,X1) ),
inference(rectify,[],[f21]) ).
fof(f21,axiom,
! [X24,X23] :
( greater(X24,X23)
<=> ? [X25] : vplus(X23,X25) = X24 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM852+2 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.35 % Computer : n002.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 30 09:16:59 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.51 % (6962)fmb+10_1:1_nm=2:i=3:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/3Mi)
% 0.21/0.51 % (6956)lrs+10_1:2_br=off:nm=4:ss=included:urr=on:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.21/0.51 % (6958)lrs+10_1:32_br=off:nm=16:sd=2:ss=axioms:st=2.0:urr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.21/0.52 % (6954)lrs+10_1:1_br=off:sos=on:ss=axioms:st=2.0:urr=on:i=33:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/33Mi)
% 0.21/0.52 % (6970)lrs+11_1:1_plsq=on:plsqc=1:plsqr=32,1:ss=included:i=95:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/95Mi)
% 0.21/0.52 % (6962)Instruction limit reached!
% 0.21/0.52 % (6962)------------------------------
% 0.21/0.52 % (6962)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (6945)dis+1002_1:12_drc=off:fd=preordered:tgt=full:i=99978:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99978Mi)
% 0.21/0.52 % (6954)Refutation not found, incomplete strategy% (6954)------------------------------
% 0.21/0.52 % (6954)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.52 % (6952)lrs+2_1:1_lcm=reverse:lma=on:sos=all:spb=goal_then_units:ss=included:urr=on:i=39:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/39Mi)
% 0.21/0.53 % (6967)dis+1010_2:3_fs=off:fsr=off:nm=0:nwc=5.0:s2a=on:s2agt=32:i=82:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/82Mi)
% 0.21/0.53 % (6970)First to succeed.
% 0.21/0.53 % (6962)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6962)Termination reason: Unknown
% 0.21/0.53 % (6962)Termination phase: Finite model building preprocessing
% 0.21/0.53
% 0.21/0.53 % (6962)Memory used [KB]: 1407
% 0.21/0.53 % (6962)Time elapsed: 0.005 s
% 0.21/0.53 % (6962)Instructions burned: 3 (million)
% 0.21/0.53 % (6962)------------------------------
% 0.21/0.53 % (6962)------------------------------
% 0.21/0.53 % (6954)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6954)Termination reason: Refutation not found, incomplete strategy
% 0.21/0.53
% 0.21/0.53 % (6954)Memory used [KB]: 5884
% 0.21/0.53 % (6954)Time elapsed: 0.117 s
% 0.21/0.53 % (6954)Instructions burned: 3 (million)
% 0.21/0.53 % (6954)------------------------------
% 0.21/0.53 % (6954)------------------------------
% 0.21/0.53 % (6970)Refutation found. Thanks to Tanya!
% 0.21/0.53 % SZS status Theorem for theBenchmark
% 0.21/0.53 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.53 % (6970)------------------------------
% 0.21/0.53 % (6970)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.21/0.53 % (6970)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.53 % (6970)Termination reason: Refutation
% 0.21/0.53
% 0.21/0.53 % (6970)Memory used [KB]: 6140
% 0.21/0.53 % (6970)Time elapsed: 0.118 s
% 0.21/0.53 % (6970)Instructions burned: 10 (million)
% 0.21/0.53 % (6970)------------------------------
% 0.21/0.53 % (6970)------------------------------
% 0.21/0.53 % (6944)Success in time 0.175 s
%------------------------------------------------------------------------------