%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n016.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 09:20:00 AM UTC 2026
% Result : Unsatisfiable 5.70s 1.60s
% Output : Refutation 5.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 6 unt; 0 def)
% Number of atoms : 16 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 13 ( 8 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
! [X0] :
( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Suc__pred_0) ).
fof(f806,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_gr0I_0) ).
fof(f807,plain,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
| c_HOL_Ozero__class_Ozero(tc_nat) = X0 ),
inference(reorient_equations,[],[f806]) ).
fof(f937,axiom,
! [X0] :
( c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_Suc(X0)
| v_thesis____ ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f938,plain,
! [X0] :
( c_Suc(X0) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex)
| v_thesis____ ),
inference(reorient_equations,[],[f937]) ).
fof(f955,axiom,
c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex) != c_HOL_Ozero__class_Ozero(tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_dp_0) ).
fof(f956,plain,
c_HOL_Ozero__class_Ozero(tc_nat) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),
inference(reorient_equations,[],[f955]) ).
fof(f962,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1063,plain,
! [X0] : c_Suc(X0) != c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),
inference(unit_resulting_resolution,[],[f938,f962]) ).
fof(f1107,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Polynomial_Odegree(v_p,tc_Complex_Ocomplex),tc_nat),
inference(unit_resulting_resolution,[],[f94,f1063]) ).
fof(f2052,plain,
$false,
inference(unit_resulting_resolution,[],[f807,f956,f1107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG428-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n016.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 20:27:49 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 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
% 5.70/1.60 % (3951847)Input is clausal, will run a generic CNF schedule.
% 5.70/1.60 % (3951856)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=483406524:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.70/1.60 % (3951856)Instruction limit reached!
% 5.70/1.60 % (3951856)------------------------------
% 5.70/1.60 % (3951856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951856)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951856)Termination reason: Instruction limit
% 5.70/1.60 % (3951856)Termination phase: Saturation
% 5.70/1.60 % (3951856)Time elapsed: 0.042 s
% 5.70/1.60 % (3951856)Peak memory usage: 89 MB
% 5.70/1.60 % (3951856)Instructions burned: 116 (million)
% 5.70/1.60 % (3951855)lrs+10_1_sil=8000:sp=occurrence:random_seed=18208605:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.70/1.60 % (3951854)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1571375825:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.70/1.60 % (3951853)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1758081616:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.70/1.60 % (3951852)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=2076970779:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.70/1.60 % (3951857)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1265523093:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.70/1.60 % (3951858)dis-21_1_sil=8000:lcm=predicate:random_seed=3864978610: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)
% 5.70/1.60 % (3951855)Instruction limit reached!
% 5.70/1.60 % (3951855)------------------------------
% 5.70/1.60 % (3951855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951855)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951855)Termination reason: Instruction limit
% 5.70/1.60 % (3951855)Termination phase: Saturation
% 5.70/1.60 % (3951855)Time elapsed: 0.072 s
% 5.70/1.60 % (3951855)Peak memory usage: 89 MB
% 5.70/1.60 % (3951855)Instructions burned: 107 (million)
% 5.70/1.60 % (3951858)Instruction limit reached!
% 5.70/1.60 % (3951858)------------------------------
% 5.70/1.60 % (3951858)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951858)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951858)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951858)Termination reason: Instruction limit
% 5.70/1.60 % (3951858)Termination phase: Saturation
% 5.70/1.60 % (3951858)Time elapsed: 0.068 s
% 5.70/1.60 % (3951858)Peak memory usage: 89 MB
% 5.70/1.60 % (3951858)Instructions burned: 118 (million)
% 5.70/1.60 % (3951857)Instruction limit reached!
% 5.70/1.60 % (3951857)------------------------------
% 5.70/1.60 % (3951857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951857)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951857)Termination reason: Instruction limit
% 5.70/1.60 % (3951857)Termination phase: Saturation
% 5.70/1.60 % (3951857)Time elapsed: 0.099 s
% 5.70/1.60 % (3951857)Peak memory usage: 90 MB
% 5.70/1.60 % (3951857)Instructions burned: 180 (million)
% 5.70/1.60 % (3951860)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=3764277123:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 5.70/1.60 % (3951860)Refutation not found, incomplete strategy
% 5.70/1.60 % (3951860)------------------------------
% 5.70/1.60 % (3951860)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951860)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951860)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951860)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.60 % (3951860)Time elapsed: 0.006 s
% 5.70/1.60 % (3951860)Peak memory usage: 88 MB
% 5.70/1.60 % (3951860)Instructions burned: 18 (million)
% 5.70/1.60 % (3951867)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3592886344: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)
% 5.70/1.60 % (3951868)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4178940569:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.70/1.60 % (3951868)Refutation not found, incomplete strategy
% 5.70/1.60 % (3951868)------------------------------
% 5.70/1.60 % (3951868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951868)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951868)Termination reason: Refutation not found, incomplete strategy
% 5.70/1.60 % (3951868)Time elapsed: 0.020 s
% 5.70/1.60 % (3951868)Peak memory usage: 88 MB
% 5.70/1.60 % (3951868)Instructions burned: 34 (million)
% 5.70/1.60 % (3951870)lrs+10_64_to=lpo:sil=8000:random_seed=296849632:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.70/1.60 % (3951860)------------------------------
% 5.70/1.60 % (3951860)------------------------------
% 5.70/1.60 % (3951867)First to succeed.
% 5.70/1.60 % (3951867)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3951847"
% 5.70/1.60 % (3951870)Instruction limit reached!
% 5.70/1.60 % (3951870)------------------------------
% 5.70/1.60 % (3951870)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951870)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951870)Termination reason: Instruction limit
% 5.70/1.60 % (3951870)Termination phase: Saturation
% 5.70/1.60 % (3951870)Time elapsed: 0.083 s
% 5.70/1.60 % (3951870)Peak memory usage: 89 MB
% 5.70/1.60 % (3951870)Instructions burned: 127 (million)
% 5.70/1.60 % (3951874)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1654616812:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.70/1.60 % (3951874)Instruction limit reached!
% 5.70/1.60 % (3951874)------------------------------
% 5.70/1.60 % (3951874)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951874)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951874)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951874)Termination reason: Instruction limit
% 5.70/1.60 % (3951874)Termination phase: Saturation
% 5.70/1.60 % (3951874)Time elapsed: 0.069 s
% 5.70/1.60 % (3951874)Peak memory usage: 90 MB
% 5.70/1.60 % (3951874)Instructions burned: 194 (million)
% 5.70/1.60 % (3951875)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=178314976:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.70/1.60 % (3951868)------------------------------
% 5.70/1.60 % (3951868)------------------------------
% 5.70/1.60 % (3951867)Refutation found. Thanks to Tanya!
% 5.70/1.60 % SZS status Unsatisfiable for theBenchmark
% 5.70/1.60 % SZS output start Proof for theBenchmark
% See solution above
% 5.70/1.60 % (3951867)------------------------------
% 5.70/1.60 % (3951867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.60 % (3951867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.60 % (3951867)CaDiCaL version: 2.1.3
% 5.70/1.60 % (3951867)Termination reason: Refutation
% 5.70/1.60 % (3951867)Time elapsed: 0.046 s
% 5.70/1.60 % (3951867)Peak memory usage: 90 MB
% 5.70/1.60 % (3951867)Instructions burned: 84 (million)
% 5.70/1.60 % (3951867)------------------------------
% 5.83/1.60 % (3951867)------------------------------
% 5.83/1.60 % (3951847)Success in time 0.75 s
% 5.83/1.60 % Vampire exiting
%------------------------------------------------------------------------------