%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:36:20 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.45s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 10 ( 10 unt; 0 def)
% Number of atoms : 10 ( 9 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',associativity_of_add) ).
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
negate(add(a,negate(add(b,c)))) = negate(add(a,add(b,negate(c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f5,negated_conjecture,
add(a,b) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_result) ).
fof(f6,plain,
a != add(a,b),
inference(reorient_equations,[],[f5]) ).
fof(f23,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(add(X0,X1),X2)),negate(add(X0,add(X1,negate(X2)))))),
inference(superposition,[],[f3,f2]) ).
fof(f26,plain,
! [X2,X0,X1] : add(X0,X1) = negate(add(negate(add(X0,add(X1,X2))),negate(add(X0,add(X1,negate(X2)))))),
inference(forward_demodulation,[],[f23,f2]) ).
fof(f55,plain,
a = negate(add(negate(add(a,add(b,c))),negate(add(a,add(b,negate(c)))))),
inference(superposition,[],[f3,f4]) ).
fof(f58,plain,
a = add(a,b),
inference(forward_demodulation,[],[f55,f26]) ).
fof(f59,plain,
$false,
inference(forward_subsumption_resolution,[],[f58,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ROB008-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.37 % Computer : n026.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:28:57 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/0.41 Running first-order model finding
% 0.15/0.41 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.45 % (3325762)Will run a generic schedule for satisfiability detection.
% 0.15/0.45 % (3325767)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4135563511_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.45 % TRYING [1]
% 0.15/0.45 % TRYING [2]
% 0.15/0.45 % TRYING [3]
% 0.15/0.45 % (3325768)% WARNING: option uhcvi not known.
% 0.15/0.45 % TRYING [4]
% 0.15/0.45 % (3325768)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3896611904:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.45 % (3325769)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2751389375:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.45 % (3325770)dis+10_1_sil=32000:sp=arity:random_seed=3278195419:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.45 % (3325771)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2588747396:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.45 % (3325772)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2534149511:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.45 % (3325773)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2042783906:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.45 % (3325771) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325762-3325771"...
% 0.15/0.45 % (3325772) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3325762-3325772"...
% 0.15/0.45 % (3325771)...printing done.
% 0.15/0.45 % (3325772)...printing done.
% 0.15/0.45 % (3325771)Refutation found. Thanks to Tanya!
% 0.15/0.45 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.45 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.45 % (3325771)------------------------------
% 0.15/0.45 % (3325771)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.45 % (3325771)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.45 % (3325771)CaDiCaL version: 2.1.3
% 0.15/0.45 % (3325771)Termination reason: Refutation
% 0.15/0.45 % (3325771)Time elapsed: 0.003 s
% 0.15/0.45 % (3325771)Peak memory usage: 11 MB
% 0.15/0.45 % (3325771)Instructions burned: 3 (million)
% 0.15/0.45 % (3325762)Success in time 0.034 s
% 0.15/0.45 % Vampire exiting
%------------------------------------------------------------------------------