%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n010.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 12:17:47 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.49s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 4
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 19 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 18 ( 12 ~; 6 |; 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 : 20 ( 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ equalish(X0,X1)
| ~ equalish(X1,X2)
| equalish(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM002-0.ax',transitivity) ).
fof(f3,axiom,
! [X0,X1] : equalish(add(X0,X1),add(X1,X0)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM002-0.ax',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/Axioms/NUM002-0.ax',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(f22,plain,
! [X2,X0,X1] :
( ~ equalish(X2,add(X0,X1))
| equalish(X2,add(X1,X0)) ),
inference(resolution,[],[f2,f3]) ).
fof(f24,plain,
! [X0] :
( ~ equalish(add(add(a,b),c),X0)
| ~ equalish(X0,add(a,add(b,c))) ),
inference(resolution,[],[f2,f13]) ).
fof(f27,plain,
~ equalish(add(c,add(a,b)),add(a,add(b,c))),
inference(resolution,[],[f24,f3]) ).
fof(f33,plain,
! [X2,X3,X0,X1] :
( equalish(X3,add(add(X0,X1),X2))
| ~ equalish(X3,add(X0,add(X1,X2))) ),
inference(resolution,[],[f4,f2]) ).
fof(f35,plain,
! [X0] :
( ~ equalish(add(c,add(a,b)),X0)
| ~ equalish(X0,add(a,add(b,c))) ),
inference(resolution,[],[f27,f2]) ).
fof(f44,plain,
~ equalish(add(c,add(a,b)),add(add(b,c),a)),
inference(resolution,[],[f35,f3]) ).
fof(f262,plain,
! [X2,X0,X1] : equalish(add(X0,add(X1,X2)),add(X2,add(X0,X1))),
inference(resolution,[],[f22,f4]) ).
fof(f649,plain,
~ equalish(add(c,add(a,b)),add(b,add(c,a))),
inference(resolution,[],[f33,f44]) ).
fof(f653,plain,
$false,
inference(forward_subsumption_resolution,[],[f649,f262]) ).
%------------------------------------------------------------------------------
%----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 SAT
% 0.10/0.38 % Computer : n010.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 18:39:17 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.49 % (1239267)Will run a generic schedule for satisfiability detection.
% 0.17/0.49 % (1239272)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=757381388_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.49 % TRYING [1]
% 0.17/0.49 % TRYING [2]
% 0.17/0.49 % TRYING [3]
% 0.17/0.49 % (1239273)% WARNING: option uhcvi not known.
% 0.17/0.49 % (1239275)dis+10_1_sil=32000:sp=arity:random_seed=2485554441:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.49 % (1239273)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3699890752:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.49 % (1239274)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1361350071:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.49 % (1239276)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1437753064:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.49 % (1239277)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2720519476:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.49 % (1239278)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2993703182:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.49 % TRYING [4]
% 0.17/0.49 % (1239276) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1239267-1239276"...
% 0.17/0.49 % (1239276)...printing done.
% 0.17/0.49 % (1239276)Refutation found. Thanks to Tanya!
% 0.17/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.49 % (1239276)------------------------------
% 0.17/0.49 % (1239276)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.49 % (1239276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.49 % (1239276)CaDiCaL version: 2.1.3
% 0.17/0.49 % (1239276)Termination reason: Refutation
% 0.17/0.49 % (1239276)Time elapsed: 0.022 s
% 0.17/0.49 % (1239276)Peak memory usage: 11 MB
% 0.17/0.49 % (1239276)Instructions burned: 36 (million)
% 0.17/0.49 % (1239267)Success in time 0.064 s
% 0.17/0.49 % Vampire exiting
%------------------------------------------------------------------------------