%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:36:09 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.48s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 8
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 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 : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 69 ( 69 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(add(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
fof(f2,axiom,
! [X0,X1] : add(X0,X1) = add(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_001) ).
fof(f3,axiom,
! [X0,X1] : mult(X0,X1) = mult(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_002) ).
fof(f4,axiom,
! [X2,X0,X1] : mult(X0,add(X1,X2)) = add(mult(X0,X1),mult(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_003) ).
fof(f5,axiom,
! [X0] : add(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_004) ).
fof(f6,axiom,
! [X0] : mult(X0,unit) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_005) ).
fof(f7,axiom,
! [X0] : add(unit,add(X0,mult(X0,X0))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos_006) ).
fof(f8,negated_conjecture,
add(x0,x1) != mult(x0,x1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f9,plain,
! [X0] : add(X0,zero) = X0,
inference(superposition,[],[f2,f5]) ).
fof(f21,plain,
unit = add(unit,add(unit,unit)),
inference(superposition,[],[f7,f6]) ).
fof(f22,plain,
zero = add(unit,mult(zero,zero)),
inference(superposition,[],[f7,f5]) ).
fof(f23,plain,
! [X2,X0,X1] : add(add(X0,X1),X2) = add(X1,add(X0,X2)),
inference(superposition,[],[f1,f2]) ).
fof(f28,plain,
! [X0,X1] : add(X0,X1) = add(unit,add(add(X0,mult(X0,X0)),X1)),
inference(superposition,[],[f1,f7]) ).
fof(f29,plain,
! [X2,X0,X1] : add(X0,add(X1,X2)) = add(X1,add(X2,X0)),
inference(superposition,[],[f1,f2]) ).
fof(f36,plain,
! [X0,X1] : add(X0,X1) = add(unit,add(X0,add(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f28,f1]) ).
fof(f39,plain,
! [X0,X1] : mult(X0,add(unit,X1)) = add(X0,mult(X0,X1)),
inference(superposition,[],[f4,f6]) ).
fof(f73,plain,
! [X0] : add(zero,X0) = add(mult(zero,zero),add(unit,X0)),
inference(superposition,[],[f23,f22]) ).
fof(f87,plain,
! [X0] : add(mult(zero,zero),add(unit,X0)) = X0,
inference(forward_demodulation,[],[f73,f5]) ).
fof(f110,plain,
add(unit,unit) = add(mult(zero,zero),unit),
inference(superposition,[],[f87,f21]) ).
fof(f128,plain,
add(unit,unit) = add(unit,mult(zero,zero)),
inference(forward_demodulation,[],[f110,f2]) ).
fof(f129,plain,
zero = add(unit,unit),
inference(forward_demodulation,[],[f128,f22]) ).
fof(f316,plain,
! [X0] : mult(X0,add(unit,unit)) = add(X0,X0),
inference(superposition,[],[f39,f6]) ).
fof(f341,plain,
! [X0] : mult(X0,zero) = add(X0,X0),
inference(forward_demodulation,[],[f316,f129]) ).
fof(f371,plain,
zero = add(unit,add(zero,zero)),
inference(superposition,[],[f22,f341]) ).
fof(f389,plain,
zero = add(zero,add(zero,unit)),
inference(forward_demodulation,[],[f371,f29]) ).
fof(f405,plain,
zero = add(zero,unit),
inference(forward_demodulation,[],[f389,f5]) ).
fof(f414,plain,
zero = unit,
inference(forward_demodulation,[],[f405,f5]) ).
fof(f508,plain,
! [X0,X1] : add(X0,X1) = add(zero,add(X0,add(mult(X0,X0),X1))),
inference(forward_demodulation,[],[f36,f414]) ).
fof(f509,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(mult(X0,X0),X1)),
inference(forward_demodulation,[],[f508,f5]) ).
fof(f514,plain,
! [X0,X1] : add(X0,mult(X0,X1)) = add(X0,mult(X0,add(X0,X1))),
inference(superposition,[],[f509,f4]) ).
fof(f517,plain,
! [X0,X1] : add(X1,X0) = add(X1,add(X0,mult(X1,X1))),
inference(superposition,[],[f509,f2]) ).
fof(f524,plain,
! [X0] : add(X0,mult(X0,X0)) = add(X0,zero),
inference(superposition,[],[f509,f9]) ).
fof(f540,plain,
! [X0,X1] : mult(X1,add(unit,X0)) = add(X1,mult(X1,add(mult(unit,unit),X0))),
inference(superposition,[],[f39,f509]) ).
fof(f545,plain,
! [X0,X1] : mult(X1,add(unit,X0)) = add(X1,mult(X1,add(unit,X0))),
inference(forward_demodulation,[],[f540,f6]) ).
fof(f559,plain,
! [X0] : add(X0,mult(X0,X0)) = X0,
inference(forward_demodulation,[],[f524,f9]) ).
fof(f571,plain,
! [X0,X1] : mult(X1,add(zero,X0)) = add(X1,mult(X1,add(zero,X0))),
inference(forward_demodulation,[],[f545,f414]) ).
fof(f586,plain,
! [X0,X1] : mult(X1,X0) = add(X1,mult(X1,X0)),
inference(forward_demodulation,[],[f571,f5]) ).
fof(f1184,plain,
! [X0] : mult(X0,add(unit,X0)) = X0,
inference(superposition,[],[f39,f559]) ).
fof(f1208,plain,
! [X0] : mult(X0,add(zero,X0)) = X0,
inference(forward_demodulation,[],[f1184,f414]) ).
fof(f1218,plain,
! [X0] : mult(X0,X0) = X0,
inference(forward_demodulation,[],[f1208,f5]) ).
fof(f1523,plain,
! [X0,X1] : add(X1,X0) = add(X1,add(X0,X1)),
inference(forward_demodulation,[],[f517,f1218]) ).
fof(f1526,plain,
! [X0,X1] : add(X0,X1) = add(X0,add(X0,X1)),
inference(superposition,[],[f1523,f2]) ).
fof(f1843,plain,
! [X0,X1] : add(X0,mult(X0,X1)) = mult(X0,add(X0,X1)),
inference(forward_demodulation,[],[f514,f586]) ).
fof(f1844,plain,
! [X0,X1] : mult(X0,X1) = mult(X0,add(X0,X1)),
inference(forward_demodulation,[],[f1843,f586]) ).
fof(f1846,plain,
! [X0,X1] : mult(X1,X0) = mult(X1,add(X0,X1)),
inference(superposition,[],[f1844,f2]) ).
fof(f2086,plain,
! [X0,X1] : mult(add(X0,X1),add(X0,X1)) = mult(add(X0,X1),X0),
inference(superposition,[],[f1846,f1526]) ).
fof(f2155,plain,
! [X0,X1] : mult(add(X0,X1),add(X0,X1)) = mult(X0,add(X0,X1)),
inference(forward_demodulation,[],[f2086,f3]) ).
fof(f2177,plain,
! [X0,X1] : mult(X0,X1) = mult(add(X0,X1),add(X0,X1)),
inference(forward_demodulation,[],[f2155,f1844]) ).
fof(f2191,plain,
! [X0,X1] : add(X0,X1) = mult(X0,X1),
inference(forward_demodulation,[],[f2177,f1218]) ).
fof(f2262,plain,
add(x0,x1) != add(x0,x1),
inference(superposition,[],[f8,f2191]) ).
fof(f2263,plain,
$false,
inference(trivial_inequality_removal,[],[f2262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : RNG128-1 : TPTP v9.3.1. Released v5.4.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.38 % Computer : n004.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 23:23:52 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.41 Running first-order model finding
% 0.09/0.41 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
% 0.14/0.48 % (3995928)Will run a generic schedule for satisfiability detection.
% 0.14/0.48 % (3995936)dis+10_1_sil=32000:sp=arity:random_seed=2078032941:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.48 % (3995934)% WARNING: option uhcvi not known.
% 0.14/0.48 % (3995933)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=167915242_2999 on theBenchmark for (2999ds/0Mi)
% 0.14/0.48 % (3995935)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2757303148:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.14/0.48 % (3995934)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3392495606:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.14/0.48 % (3995938)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=693478244:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.48 % (3995937)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2957477840:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.14/0.48 % (3995939)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3182865412:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.14/0.48 % TRYING [1]
% 0.14/0.48 % TRYING [2]
% 0.14/0.48 % TRYING [3]
% 0.14/0.48 % TRYING [4]
% 0.14/0.48 % TRYING [5]
% 0.14/0.48 % (3995935) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3995928-3995935"...
% 0.14/0.48 % (3995936) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3995928-3995936"...
% 0.14/0.48 % (3995936)...printing done.
% 0.14/0.48 % (3995935)...printing done.
% 0.14/0.48 % (3995936)Refutation found. Thanks to Tanya!
% 0.14/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.48 % (3995936)------------------------------
% 0.14/0.48 % (3995936)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.48 % (3995936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.48 % (3995936)CaDiCaL version: 2.1.3
% 0.14/0.48 % (3995936)Termination reason: Refutation
% 0.14/0.48 % (3995936)Time elapsed: 0.025 s
% 0.14/0.48 % (3995936)Peak memory usage: 12 MB
% 0.14/0.48 % (3995936)Instructions burned: 82 (million)
% 0.14/0.48 % (3995928)Success in time 0.054 s
% 0.14/0.48 % Vampire exiting
%------------------------------------------------------------------------------