%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB016-1 : 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 : n018.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 12:36:21 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 12 ( 8 unt; 0 def)
% Number of atoms : 18 ( 14 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 10 ( 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f8,axiom,
negate(add(d,e)) = negate(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f9,axiom,
positive_integer(k),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',k_positive) ).
fof(f10,axiom,
! [X2,X0,X1] :
( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
| ~ positive_integer(X2)
| negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0))))))) = negate(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',lemma_3_6) ).
fof(f11,plain,
! [X2,X0,X1] :
( ~ positive_integer(X2)
| negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
| negate(X0) = negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0))))))) ),
inference(reorient_equations,[],[f10]) ).
fof(f12,negated_conjecture,
negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) != negate(e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_result) ).
fof(f13,plain,
negate(e) != negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),
inference(reorient_equations,[],[f12]) ).
fof(f38,plain,
d = negate(add(negate(e),negate(add(d,negate(e))))),
inference(superposition,[],[f3,f8]) ).
fof(f55,plain,
! [X0,X1] :
( negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1
| negate(X0) = negate(add(X0,multiply(k,add(X1,negate(add(X1,negate(X0))))))) ),
inference(resolution,[],[f11,f9]) ).
fof(f986,plain,
( d != d
| negate(e) = negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))) ),
inference(superposition,[],[f55,f38]) ).
fof(f987,plain,
negate(e) = negate(add(e,multiply(k,add(d,negate(add(d,negate(e))))))),
inference(trivial_inequality_removal,[],[f986]) ).
fof(f988,plain,
$false,
inference(forward_subsumption_resolution,[],[f987,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB016-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.40 % Computer : n018.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Sun Sep 27 23:29:10 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.17/0.52 % (2848090)Will run a generic schedule for satisfiability detection.
% 0.17/0.52 % (2848097)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2138867190:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.52 % (2848096)% WARNING: option uhcvi not known.
% 0.17/0.52 % (2848098)dis+10_1_sil=32000:sp=arity:random_seed=278852885:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.52 % (2848095)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1877005291_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.52 % (2848096)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2478030597:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.52 % (2848099)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1655621309:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.52 % (2848100)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=244714688:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.52 % (2848101)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2992550071:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.52 % TRYING [1]
% 0.17/0.52 % TRYING [2]
% 0.17/0.52 % TRYING [3]
% 0.17/0.52 % TRYING [4]
% 0.17/0.52 % (2848100) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2848090-2848100"...
% 0.17/0.52 % (2848100)...printing done.
% 0.17/0.52 % (2848100)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (2848100)------------------------------
% 0.17/0.52 % (2848100)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (2848100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (2848100)CaDiCaL version: 2.1.3
% 0.17/0.52 % (2848100)Termination reason: Refutation
% 0.17/0.52 % (2848100)Time elapsed: 0.035 s
% 0.17/0.52 % (2848100)Peak memory usage: 12 MB
% 0.17/0.52 % (2848100)Instructions burned: 59 (million)
% 0.17/0.52 % (2848090)Success in time 0.075 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------