%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM836+1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:17:12 PM UTC 2026
% Result : Theorem 3.65s 1.48s
% Output : Refutation 3.65s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 54 ( 22 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 57 ( 31 ~; 19 |; 4 &)
% ( 2 <=>; 1 =>; 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 58 ( 50 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
( ~ greater(vd203,vd204)
| ~ less(vd203,vd204) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','dis(ex(cond(conseq(131), 0), 1))') ).
fof(f2,negated_conjecture,
~ ( ~ greater(vd203,vd204)
| ~ less(vd203,vd204) ),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f4,axiom,
! [X0,X1] :
( less(X1,X0)
<=> ? [X2] : X0 = vplus(X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 12), 1)') ).
fof(f5,axiom,
! [X0,X1] :
( greater(X1,X0)
<=> ? [X2] : X1 = vplus(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','def(cond(conseq(axiom(3)), 11), 1)') ).
fof(f8,axiom,
! [X0,X1] :
( ~ ? [X2] : X0 = vplus(X1,X2)
| ~ ? [X3] : X1 = vplus(X0,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p','ass(cond(goal(88), 0), 2)') ).
fof(f22,plain,
! [X0,X1] :
( less(X1,X0)
=> ? [X2] : X0 = vplus(X1,X2) ),
inference(unused_predicate_definition_removal,[],[f4]) ).
fof(f23,plain,
( greater(vd203,vd204)
& less(vd203,vd204) ),
inference(ennf_transformation,[],[f2]) ).
fof(f24,plain,
! [X0,X1] :
( ? [X2] : X0 = vplus(X1,X2)
| ~ less(X1,X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f27,plain,
! [X0,X1] :
( ! [X2] : vplus(X1,X2) != X0
| ! [X3] : vplus(X0,X3) != X1 ),
inference(ennf_transformation,[],[f8]) ).
fof(f29,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X2] : X1 = vplus(X0,X2)
| ~ greater(X1,X0) ) ),
inference(nnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( ? [X3] : vplus(X0,X3) = X1
| ~ greater(X1,X0) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0,X1] :
( ( greater(X1,X0)
| ! [X2] : vplus(X0,X2) != X1 )
& ( vplus(X0,sK0(X0,X1)) = X1
| ~ greater(X1,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X1))],[f30]) ).
fof(f32,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| ~ less(X1,X0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0,X1))],[f24]) ).
fof(f34,plain,
less(vd203,vd204),
inference(cnf_transformation,[],[f23]) ).
fof(f35,plain,
greater(vd203,vd204),
inference(cnf_transformation,[],[f23]) ).
fof(f37,plain,
! [X0,X1] :
( vplus(X0,sK0(X0,X1)) = X1
| ~ greater(X1,X0) ),
inference(cnf_transformation,[],[f31]) ).
fof(f38,plain,
! [X2,X0,X1] :
( greater(X1,X0)
| vplus(X0,X2) != X1 ),
inference(cnf_transformation,[],[f31]) ).
fof(f39,plain,
! [X0,X1] :
( vplus(X1,sK1(X0,X1)) = X0
| ~ less(X1,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( vplus(X1,X2) != X0
| vplus(X0,X3) != X1 ),
inference(cnf_transformation,[],[f27]) ).
fof(f48,plain,
! [X2,X0] : greater(vplus(X0,X2),X0),
inference(equality_resolution,[],[f38]) ).
fof(f50,plain,
! [X2,X3,X1] : vplus(vplus(X1,X2),X3) != X1,
inference(equality_resolution,[],[f45]) ).
fof(f72,plain,
! [X2,X0,X1] :
( vplus(X0,X2) != X1
| ~ greater(X0,X1) ),
inference(superposition,[],[f50,f37]) ).
fof(f79,plain,
! [X0,X1] :
( greater(X0,X1)
| ~ less(X1,X0) ),
inference(superposition,[],[f48,f39]) ).
fof(f165,plain,
! [X0,X1] : ~ greater(X0,vplus(X0,X1)),
inference(equality_resolution,[],[f72]) ).
fof(f169,plain,
! [X0,X1] :
( ~ greater(X1,X0)
| ~ greater(X0,X1) ),
inference(superposition,[],[f165,f37]) ).
fof(f222,plain,
~ greater(vd204,vd203),
inference(resolution,[],[f169,f35]) ).
fof(f228,plain,
~ less(vd203,vd204),
inference(resolution,[],[f222,f79]) ).
fof(f229,plain,
$false,
inference(forward_subsumption_resolution,[],[f228,f34]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM836+1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 21:27:10 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.65/1.48 % (1794465)Detected formulas, will run a generic FOF schedule.
% 3.65/1.48 % (1794471)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3080912221:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.65/1.48 % (1794472)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1833731515:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.65/1.48 % (1794470)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=539624284:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.65/1.48 % (1794473)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1092097312:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.65/1.48 % (1794473)Refutation not found, incomplete strategy
% 3.65/1.48 % (1794473)------------------------------
% 3.65/1.48 % (1794473)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48 % (1794473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48 % (1794473)CaDiCaL version: 2.1.3
% 3.65/1.48 % (1794473)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.48 % (1794473)Time elapsed: 0.001 s
% 3.65/1.48 % (1794473)Peak memory usage: 88 MB
% 3.65/1.48 % (1794474)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=4129864735:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.65/1.48 % (1794476)dis-21_1_sil=8000:lcm=predicate:random_seed=1562416111:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.65/1.48 % (1794476)Refutation not found, incomplete strategy
% 3.65/1.48 % (1794476)------------------------------
% 3.65/1.48 % (1794476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48 % (1794476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48 % (1794476)CaDiCaL version: 2.1.3
% 3.65/1.48 % (1794476)Termination reason: Refutation not found, incomplete strategy
% 3.65/1.48 % (1794476)Time elapsed: 0.003 s
% 3.65/1.48 % (1794476)Peak memory usage: 88 MB
% 3.65/1.48 % (1794476)Instructions burned: 2 (million)
% 3.65/1.48 % (1794474)First to succeed.
% 3.65/1.48 % (1794474)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1794465"
% 3.65/1.48 % (1794475)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1714275798:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.65/1.48 % (1794475)Also succeeded, but the first one will report.
% 3.65/1.48 % (1794473)------------------------------
% 3.65/1.48 % (1794473)------------------------------
% 3.65/1.48 % (1794476)------------------------------
% 3.65/1.48 % (1794476)------------------------------
% 3.65/1.48 % (1794474)Refutation found. Thanks to Tanya!
% 3.65/1.48 % SZS status Theorem for theBenchmark
% 3.65/1.48 % SZS output start Proof for theBenchmark
% See solution above
% 3.65/1.48 % (1794474)------------------------------
% 3.65/1.48 % (1794474)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.65/1.48 % (1794474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.65/1.48 % (1794474)CaDiCaL version: 2.1.3
% 3.65/1.48 % (1794474)Termination reason: Refutation
% 3.65/1.48 % (1794474)Time elapsed: 0.006 s
% 3.65/1.48 % (1794474)Peak memory usage: 88 MB
% 3.65/1.48 % (1794474)Instructions burned: 7 (million)
% 3.65/1.48 % (1794474)------------------------------
% 3.65/1.48 % (1794474)------------------------------
% 3.65/1.48 % (1794465)Success in time 0.436 s
% 3.65/1.48 % Vampire exiting
%------------------------------------------------------------------------------