%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ROB016-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:36:16 PM UTC 2026
% Result : Unsatisfiable 3.50s 1.47s
% Output : Refutation 3.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of formulae : 14 ( 10 unt; 1 def)
% Number of atoms : 21 ( 12 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 20 ( 13 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 8 ( 3 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',robbins_axiom) ).
fof(f8,axiom,
negate(add(d,e)) = negate(e),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condition) ).
fof(f9,axiom,
positive_integer(k),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',lemma_3_6) ).
fof(f11,plain,
! [X2,X0,X1] :
( negate(X0) = negate(add(X0,multiply(X2,add(X1,negate(add(X1,negate(X0)))))))
| ~ positive_integer(X2)
| negate(add(negate(X0),negate(add(X1,negate(X0))))) != X1 ),
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/sandbox/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(f14,definition,
~ sP0(negate(add(e,multiply(k,add(d,negate(add(d,negate(e)))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f15,plain,
sP0(negate(e)),
inference(inequality_splitting,[],[f13,f14]) ).
fof(f30,plain,
d = negate(add(negate(e),negate(add(d,negate(e))))),
inference(superposition,[],[f3,f8]) ).
fof(f48,plain,
( ~ sP0(negate(e))
| ~ positive_integer(k)
| d != negate(add(negate(e),negate(add(d,negate(e))))) ),
inference(superposition,[],[f14,f11]) ).
fof(f50,plain,
( ~ positive_integer(k)
| d != negate(add(negate(e),negate(add(d,negate(e))))) ),
inference(forward_subsumption_resolution,[],[f48,f15]) ).
fof(f51,plain,
d != negate(add(negate(e),negate(add(d,negate(e))))),
inference(forward_subsumption_resolution,[],[f50,f9]) ).
fof(f57,plain,
$false,
inference(forward_subsumption_resolution,[],[f30,f51]) ).
%------------------------------------------------------------------------------
%----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/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.38 % Computer : n013.cluster.edu
% 0.09/0.38 % Model : x86_64 x86_64
% 0.09/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.38 % Memory : 8046.5625MB
% 0.09/0.38 % OS : Linux 6.8.0-71-generic
% 0.09/0.38 % CPULimit : 300
% 0.09/0.38 % WCLimit : 300
% 0.09/0.38 % DateTime : Sun Sep 27 23:26:22 UTC 2026
% 0.09/0.39 % CPUTime :
% 0.09/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.42 Running first-order theorem proving
% 0.09/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.50/1.47 % (660967)Input is clausal, will run a generic CNF schedule.
% 3.50/1.47 % (660975)lrs+10_1_sil=8000:sp=occurrence:random_seed=1324349861:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.50/1.47 % (660975)Instruction limit reached!
% 3.50/1.47 % (660975)------------------------------
% 3.50/1.47 % (660975)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (660975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (660975)CaDiCaL version: 2.1.3
% 3.50/1.47 % (660975)Termination reason: Instruction limit
% 3.50/1.47 % (660975)Termination phase: Saturation
% 3.50/1.47 % (660975)Time elapsed: 0.035 s
% 3.50/1.47 % (660975)Peak memory usage: 89 MB
% 3.50/1.47 % (660975)Instructions burned: 111 (million)
% 3.50/1.47 % (660978)dis-21_1_sil=8000:lcm=predicate:random_seed=3837347188: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)
% 3.50/1.47 % (660977)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2710048559:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.50/1.47 % (660976)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=610795748:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.50/1.47 % (660974)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2871269375:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.50/1.47 % (660972)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=1771272078:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.50/1.47 % (660973)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2837803461:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.50/1.47 % (660978)Refutation not found, incomplete strategy
% 3.50/1.47 % (660978)------------------------------
% 3.50/1.47 % (660978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (660978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (660978)CaDiCaL version: 2.1.3
% 3.50/1.47 % (660978)Termination reason: Refutation not found, incomplete strategy
% 3.50/1.47 % (660978)Time elapsed: 0.001 s
% 3.50/1.47 % (660978)Peak memory usage: 88 MB
% 3.50/1.47 % (660976)First to succeed.
% 3.50/1.47 % (660976)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-660967"
% 3.50/1.47 % (660977)Also succeeded, but the first one will report.
% 3.50/1.47 % (660986)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=596124301:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.50/1.47 % (660986)Instruction limit reached!
% 3.50/1.47 % (660986)------------------------------
% 3.50/1.47 % (660986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (660986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (660986)CaDiCaL version: 2.1.3
% 3.50/1.47 % (660986)Termination reason: Instruction limit
% 3.50/1.47 % (660986)Termination phase: Saturation
% 3.50/1.47 % (660986)Time elapsed: 0.042 s
% 3.50/1.47 % (660986)Peak memory usage: 89 MB
% 3.50/1.47 % (660986)Instructions burned: 143 (million)
% 3.50/1.47 % (660978)------------------------------
% 3.50/1.47 % (660978)------------------------------
% 3.50/1.47 % (660988)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1438221722: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)
% 3.50/1.47 % (660976)Refutation found. Thanks to Tanya!
% 3.50/1.47 % SZS status Unsatisfiable for theBenchmark
% 3.50/1.47 % SZS output start Proof for theBenchmark
% See solution above
% 3.50/1.47 % (660976)------------------------------
% 3.50/1.47 % (660976)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.50/1.47 % (660976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.50/1.47 % (660976)CaDiCaL version: 2.1.3
% 3.50/1.47 % (660976)Termination reason: Refutation
% 3.50/1.47 % (660976)Time elapsed: 0.004 s
% 3.50/1.47 % (660976)Peak memory usage: 88 MB
% 3.50/1.47 % (660976)Instructions burned: 4 (million)
% 3.50/1.47 % (660976)------------------------------
% 3.50/1.47 % (660976)------------------------------
% 3.50/1.47 % (660967)Success in time 0.419 s
% 3.50/1.47 % Vampire exiting
%------------------------------------------------------------------------------