%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n003.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 09:19:57 AM UTC 2026
% Result : Unsatisfiable 3.91s 1.28s
% Output : Refutation 3.91s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 7 con; 0-3 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1297,axiom,
! [X2,X0,X1] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X0,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_real__mult__less__mono2_0) ).
fof(f1311,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1312,negated_conjecture,
c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f1313,negated_conjecture,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1932,plain,
! [X0,X1] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X0,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(v_t____,v_k____,tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X0,X1,tc_RealDef_Oreal) ),
inference(resolution,[],[f1297,f1311]) ).
fof(f1946,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(v_t____,c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(v_w____,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(v_k____,c_HOL_Oone__class_Oone(tc_nat),tc_nat),tc_RealDef_Oreal),v_m____,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[],[f1932,f1313]) ).
fof(f1952,plain,
$false,
inference(forward_subsumption_resolution,[],[f1946,f1312]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG407-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n003.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
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 20:20:57 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.91/1.28 % (1948256)Input is clausal, will run a generic CNF schedule.
% 3.91/1.28 % (1948265)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2442960350:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.91/1.28 % (1948265)Instruction limit reached!
% 3.91/1.28 % (1948265)------------------------------
% 3.91/1.28 % (1948265)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.28 % (1948265)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.28 % (1948265)CaDiCaL version: 2.1.3
% 3.91/1.28 % (1948265)Termination reason: Instruction limit
% 3.91/1.28 % (1948265)Termination phase: Saturation
% 3.91/1.28 % (1948265)Time elapsed: 0.038 s
% 3.91/1.28 % (1948265)Peak memory usage: 90 MB
% 3.91/1.28 % (1948265)Instructions burned: 115 (million)
% 3.91/1.28 % (1948266)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1371828964:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.91/1.28 % (1948263)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=935961097:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.91/1.28 % (1948262)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4002048332:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.91/1.28 % (1948264)lrs+10_1_sil=8000:sp=occurrence:random_seed=3126903026:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.91/1.28 % (1948261)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=2128693191:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.91/1.28 % (1948267)dis-21_1_sil=8000:lcm=predicate:random_seed=3084206336: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)
% 3.91/1.28 % (1948266)First to succeed.
% 3.91/1.28 % (1948266)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1948256"
% 3.91/1.28 % (1948267)Instruction limit reached!
% 3.91/1.28 % (1948267)------------------------------
% 3.91/1.28 % (1948267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.28 % (1948267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.28 % (1948267)CaDiCaL version: 2.1.3
% 3.91/1.28 % (1948267)Termination reason: Instruction limit
% 3.91/1.28 % (1948267)Termination phase: Saturation
% 3.91/1.28 % (1948267)Time elapsed: 0.068 s
% 3.91/1.28 % (1948267)Peak memory usage: 89 MB
% 3.91/1.28 % (1948267)Instructions burned: 118 (million)
% 3.91/1.28 % (1948264)Instruction limit reached!
% 3.91/1.28 % (1948264)------------------------------
% 3.91/1.28 % (1948264)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.28 % (1948264)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.28 % (1948264)CaDiCaL version: 2.1.3
% 3.91/1.28 % (1948264)Termination reason: Instruction limit
% 3.91/1.28 % (1948264)Termination phase: Saturation
% 3.91/1.28 % (1948264)Time elapsed: 0.068 s
% 3.91/1.28 % (1948264)Peak memory usage: 89 MB
% 3.91/1.28 % (1948264)Instructions burned: 108 (million)
% 3.91/1.28 % (1948269)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=698033806:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.91/1.28 % (1948269)Instruction limit reached!
% 3.91/1.28 % (1948269)------------------------------
% 3.91/1.28 % (1948269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.28 % (1948269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.28 % (1948269)CaDiCaL version: 2.1.3
% 3.91/1.28 % (1948269)Termination reason: Instruction limit
% 3.91/1.28 % (1948269)Termination phase: Saturation
% 3.91/1.28 % (1948269)Time elapsed: 0.045 s
% 3.91/1.28 % (1948269)Peak memory usage: 90 MB
% 3.91/1.28 % (1948269)Instructions burned: 144 (million)
% 3.91/1.28 % (1948276)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2203987496: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)
% 3.91/1.28 % (1948277)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=928284895:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.91/1.28 % (1948279)lrs+10_64_to=lpo:sil=8000:random_seed=2938151878:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.91/1.28 % (1948276)Also succeeded, but the first one will report.
% 3.91/1.28 % (1948266)Refutation found. Thanks to Tanya!
% 3.91/1.28 % SZS status Unsatisfiable for theBenchmark
% 3.91/1.28 % SZS output start Proof for theBenchmark
% See solution above
% 3.91/1.28 % (1948266)------------------------------
% 3.91/1.28 % (1948266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.91/1.28 % (1948266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.91/1.28 % (1948266)CaDiCaL version: 2.1.3
% 3.91/1.28 % (1948266)Termination reason: Refutation
% 3.91/1.28 % (1948266)Time elapsed: 0.042 s
% 3.91/1.28 % (1948266)Peak memory usage: 90 MB
% 3.91/1.28 % (1948266)Instructions burned: 70 (million)
% 3.91/1.28 % (1948266)------------------------------
% 3.91/1.28 % (1948266)------------------------------
% 3.91/1.28 % (1948256)Success in time 0.516 s
% 3.91/1.28 % Vampire exiting
%------------------------------------------------------------------------------