%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ROB011-1 : 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 : n015.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 0.17s 0.47s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 17 unt; 0 def)
% Number of atoms : 17 ( 16 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 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 : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 11 ( 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-0.ax',commutativity_of_add) ).
fof(f2,axiom,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/ROB001-0.ax',robbins_axiom) ).
fof(f4,axiom,
! [X0] : multiply(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/ROB001-1.ax',one_times_x) ).
fof(f8,axiom,
negate(add(a,negate(b))) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condition) ).
fof(f9,negated_conjecture,
negate(add(a,negate(add(b,multiply(one,add(a,c)))))) != c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_base_step) ).
fof(f10,plain,
c != negate(add(a,negate(add(b,multiply(one,add(a,c)))))),
inference(reorient_equations,[],[f9]) ).
fof(f11,plain,
c != negate(add(a,negate(add(b,add(a,c))))),
inference(superposition,[],[f10,f4]) ).
fof(f18,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X2,add(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f60,plain,
a = negate(add(negate(add(a,b)),c)),
inference(superposition,[],[f3,f8]) ).
fof(f63,plain,
a = negate(add(c,negate(add(a,b)))),
inference(forward_demodulation,[],[f60,f1]) ).
fof(f73,plain,
c = negate(add(negate(add(c,add(a,b))),a)),
inference(superposition,[],[f3,f63]) ).
fof(f77,plain,
c = negate(add(a,negate(add(c,add(a,b))))),
inference(forward_demodulation,[],[f73,f1]) ).
fof(f78,plain,
c = negate(add(a,negate(add(a,add(b,c))))),
inference(forward_demodulation,[],[f77,f18]) ).
fof(f79,plain,
c = negate(add(a,negate(add(a,add(c,b))))),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f126,plain,
c != negate(add(a,negate(add(a,add(c,b))))),
inference(superposition,[],[f11,f18]) ).
fof(f127,plain,
$false,
inference(forward_subsumption_resolution,[],[f126,f79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ROB011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n015.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 23:29:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.17/0.47 % (2129254)Will run a generic schedule for satisfiability detection.
% 0.17/0.47 % (2129260)% WARNING: option uhcvi not known.
% 0.17/0.47 % (2129265)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=187205937:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.47 % (2129263)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2433110300:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.47 % (2129259)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3516381015_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.47 % (2129260)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=653083984:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.47 % (2129261)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1839032386:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.47 % (2129262)dis+10_1_sil=32000:sp=arity:random_seed=3415366572:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.47 % (2129264)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2234157083:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.47 % TRYING [1]
% 0.17/0.47 % TRYING [2]
% 0.17/0.47 % TRYING [3]
% 0.17/0.47 % (2129263) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2129254-2129263"...
% 0.17/0.47 % (2129260) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2129254-2129260"...
% 0.17/0.47 % (2129263)...printing done.
% 0.17/0.47 % (2129260)...printing done.
% 0.17/0.47 % (2129263)Refutation found. Thanks to Tanya!
% 0.17/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.47 % (2129263)------------------------------
% 0.17/0.47 % (2129263)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.47 % (2129263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.47 % (2129263)CaDiCaL version: 2.1.3
% 0.17/0.47 % (2129263)Termination reason: Refutation
% 0.17/0.47 % (2129263)Time elapsed: 0.005 s
% 0.17/0.47 % (2129263)Peak memory usage: 11 MB
% 0.17/0.47 % (2129263)Instructions burned: 6 (million)
% 0.17/0.47 % (2129254)Success in time 0.046 s
% 0.17/0.47 % Vampire exiting
%------------------------------------------------------------------------------