%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM001-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 12:11:32 PM UTC 2026
% Result : Unsatisfiable 3.62s 1.49s
% Output : Refutation 3.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 27 ( 27 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equalish(X1,X2)
| ~ equalish(X0,X1)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',transitivity) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_addition) ).
fof(f4,axiom,
! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(add(X0,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_addition) ).
fof(f13,negated_conjecture,
~ equalish(add(add(a,b),c),add(a,add(b,c))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_equation) ).
fof(f15,plain,
! [X2,X0,X1] :
( ~ equalish(X0,add(X1,X2))
| equalish(X0,add(X2,X1)) ),
inference(resolution,[],[f2,f3]) ).
fof(f19,plain,
! [X2,X3,X0,X1] :
( ~ equalish(X0,add(X1,add(X2,X3)))
| equalish(X0,add(add(X1,X2),X3)) ),
inference(resolution,[],[f4,f2]) ).
fof(f47,plain,
! [X2,X0,X1] : equalish(add(add(X0,X1),X2),add(add(X2,X0),X1)),
inference(resolution,[],[f19,f3]) ).
fof(f56,plain,
! [X2,X0,X1] : equalish(add(add(X0,X1),X2),add(X1,add(X2,X0))),
inference(resolution,[],[f47,f15]) ).
fof(f74,plain,
! [X2,X0,X1] : equalish(add(add(X0,X1),X2),add(add(X1,X2),X0)),
inference(resolution,[],[f56,f19]) ).
fof(f148,plain,
! [X2,X0,X1] : equalish(add(add(X0,X1),X2),add(X0,add(X1,X2))),
inference(resolution,[],[f74,f15]) ).
fof(f170,plain,
$false,
inference(resolution,[],[f148,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM001-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n016.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 18:43:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 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
% 3.62/1.49 % (2923403)Input is clausal, will run a generic CNF schedule.
% 3.62/1.49 % (2923409)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4113642045:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.62/1.49 % (2923408)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=3445771363:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.62/1.49 % (2923410)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2534090447:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.62/1.49 % (2923413)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1789653249:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.62/1.49 % (2923414)dis-21_1_sil=8000:lcm=predicate:random_seed=539440830:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.62/1.49 % (2923411)lrs+10_1_sil=8000:sp=occurrence:random_seed=3342619090:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.62/1.49 % (2923412)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3918023070:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.62/1.49 % (2923411)First to succeed.
% 3.62/1.49 % (2923411)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2923403"
% 3.62/1.49 % (2923412)Instruction limit reached!
% 3.62/1.49 % (2923412)------------------------------
% 3.62/1.49 % (2923412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.49 % (2923412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.49 % (2923412)CaDiCaL version: 2.1.3
% 3.62/1.49 % (2923412)Termination reason: Instruction limit
% 3.62/1.49 % (2923412)Termination phase: Saturation
% 3.62/1.49 % (2923412)Time elapsed: 0.073 s
% 3.62/1.49 % (2923412)Peak memory usage: 88 MB
% 3.62/1.49 % (2923412)Instructions burned: 114 (million)
% 3.62/1.49 % (2923414)Instruction limit reached!
% 3.62/1.49 % (2923414)------------------------------
% 3.62/1.49 % (2923414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.49 % (2923414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.49 % (2923414)CaDiCaL version: 2.1.3
% 3.62/1.49 % (2923414)Termination reason: Instruction limit
% 3.62/1.49 % (2923414)Termination phase: Saturation
% 3.62/1.49 % (2923414)Time elapsed: 0.077 s
% 3.62/1.49 % (2923414)Peak memory usage: 88 MB
% 3.62/1.49 % (2923414)Instructions burned: 118 (million)
% 3.62/1.49 % (2923413)Also succeeded, but the first one will report.
% 3.62/1.49 % (2923422)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4097725314:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.62/1.49 % (2923423)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1765353945:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.62/1.49 % (2923422)Refutation not found, incomplete strategy
% 3.62/1.49 % (2923422)------------------------------
% 3.62/1.49 % (2923422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.49 % (2923422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.49 % (2923422)CaDiCaL version: 2.1.3
% 3.62/1.49 % (2923422)Termination reason: Refutation not found, incomplete strategy
% 3.62/1.49 % (2923422)Time elapsed: 0.001 s
% 3.62/1.49 % (2923422)Peak memory usage: 87 MB
% 3.62/1.49 % (2923423)Also succeeded, but the first one will report.
% 3.62/1.49 % (2923411)Refutation found. Thanks to Tanya!
% 3.62/1.49 % SZS status Unsatisfiable for theBenchmark
% 3.62/1.49 % SZS output start Proof for theBenchmark
% See solution above
% 3.62/1.49 % (2923411)------------------------------
% 3.62/1.49 % (2923411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.62/1.49 % (2923411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.62/1.49 % (2923411)CaDiCaL version: 2.1.3
% 3.62/1.49 % (2923411)Termination reason: Refutation
% 3.62/1.49 % (2923411)Time elapsed: 0.005 s
% 3.62/1.49 % (2923411)Peak memory usage: 88 MB
% 3.62/1.49 % (2923411)Instructions burned: 6 (million)
% 3.62/1.49 % (2923411)------------------------------
% 3.62/1.49 % (2923411)------------------------------
% 3.62/1.49 % (2923403)Success in time 0.443 s
% 3.62/1.49 % Vampire exiting
%------------------------------------------------------------------------------