%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG404-1 : 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 : n007.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 9.05s 2.06s
% Output : Refutation 9.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 9 unt; 2 def)
% Number of atoms : 44 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 20 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 6 con; 0-3 aty)
% Number of variables : 5 ( 0 sgn 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1102,axiom,
! [X0] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_that_0) ).
fof(f1141,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0) ).
fof(f1142,axiom,
! [X0] :
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X0),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_2) ).
fof(f1143,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(v_sko__CHAINED__1(X0),c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_1) ).
fof(f1144,axiom,
! [X0] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(X0),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_CHAINED_0_01) ).
fof(f1145,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f1341,plain,
! [X0] :
( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Oinverse__class_Oinverse(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_Oord__class_Oless(X0,c_HOL_Oone__class_Oone(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[],[f1102,f1145]) ).
fof(f1382,plain,
c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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_Oinverse__class_Oinverse(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),
inference(resolution,[],[f1142,f1141]) ).
fof(f1384,plain,
( ~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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) ),
inference(resolution,[],[f1382,f1341]) ).
fof(f1386,definition,
( spl0_3
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f1388,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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)
| spl0_3 ),
inference(avatar_component_clause,[],[f1386]) ).
fof(f1390,definition,
( spl0_4
<=> c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f1392,plain,
( ~ c_HOL_Oord__class_Oless(v_sko__CHAINED__1(c_HOL_Oinverse__class_Oinverse(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)
| spl0_4 ),
inference(avatar_component_clause,[],[f1390]) ).
fof(f1393,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f1384,f1390,f1386]) ).
fof(f1404,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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)
| spl0_3 ),
inference(resolution,[],[f1144,f1388]) ).
fof(f1406,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f1404,f1141]) ).
fof(f1407,plain,
spl0_3,
inference(avatar_contradiction_clause,[],[f1406]) ).
fof(f1408,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Oinverse(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)
| spl0_4 ),
inference(resolution,[],[f1392,f1143]) ).
fof(f1411,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f1408,f1141]) ).
fof(f1412,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f1411]) ).
cnf(s3,plain,
( ~ spl0_3
| ~ spl0_4 ),
inference(sat_conversion,[],[f1393]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f1407]) ).
cnf(s5,plain,
spl0_4,
inference(sat_conversion,[],[f1412]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s5,s4]) ).
fof(f1413,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ALG404-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.17 % Computer : n007.cluster.edu
% 0.07/0.17 % Model : x86_64 x86_64
% 0.07/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.17 % Memory : 8046.5625MB
% 0.07/0.17 % OS : Linux 6.8.0-71-generic
% 0.07/0.17 % CPULimit : 300
% 0.07/0.17 % WCLimit : 300
% 0.07/0.17 % DateTime : Mon Sep 28 20:16:56 UTC 2026
% 0.07/0.17 % CPUTime :
% 0.07/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.20 Running first-order theorem proving
% 0.07/0.20 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
% 7.33/1.87 % (2758705)Input is clausal, will run a generic CNF schedule.
% 7.33/1.87 % (2758713)lrs+10_1_sil=8000:sp=occurrence:random_seed=3613283985:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 7.33/1.87 % (2758713)Instruction limit reached!
% 7.33/1.87 % (2758713)------------------------------
% 7.33/1.87 % (2758713)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758713)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758713)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758713)Termination reason: Instruction limit
% 7.33/1.87 % (2758713)Termination phase: Saturation
% 7.33/1.87 % (2758715)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1147883921:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 7.33/1.87 % (2758713)Time elapsed: 0.040 s
% 7.33/1.87 % (2758713)Peak memory usage: 89 MB
% 7.33/1.87 % (2758713)Instructions burned: 109 (million)
% 7.33/1.87 % (2758710)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=2223235603:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 7.33/1.87 % (2758711)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2678597615:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 7.33/1.87 % (2758714)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3285872997:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 7.33/1.87 % (2758712)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3435329014:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 7.33/1.87 % (2758716)dis-21_1_sil=8000:lcm=predicate:random_seed=582612858: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)
% 7.33/1.87 % (2758716)Instruction limit reached!
% 7.33/1.87 % (2758716)------------------------------
% 7.33/1.87 % (2758716)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758716)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758716)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758716)Termination reason: Instruction limit
% 7.33/1.87 % (2758716)Termination phase: Saturation
% 7.33/1.87 % (2758716)Time elapsed: 0.068 s
% 7.33/1.87 % (2758716)Peak memory usage: 89 MB
% 7.33/1.87 % (2758716)Instructions burned: 118 (million)
% 7.33/1.87 % (2758714)Instruction limit reached!
% 7.33/1.87 % (2758714)------------------------------
% 7.33/1.87 % (2758714)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758714)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758714)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758714)Termination reason: Instruction limit
% 7.33/1.87 % (2758714)Termination phase: Saturation
% 7.33/1.87 % (2758714)Time elapsed: 0.072 s
% 7.33/1.87 % (2758714)Peak memory usage: 89 MB
% 7.33/1.87 % (2758714)Instructions burned: 115 (million)
% 7.33/1.87 % (2758719)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=1307829700:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 7.33/1.87 % (2758719)Refutation not found, incomplete strategy
% 7.33/1.87 % (2758719)------------------------------
% 7.33/1.87 % (2758719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758719)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758719)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.87 % (2758719)Time elapsed: 0.003 s
% 7.33/1.87 % (2758719)Peak memory usage: 88 MB
% 7.33/1.87 % (2758719)Instructions burned: 7 (million)
% 7.33/1.87 % (2758715)Instruction limit reached!
% 7.33/1.87 % (2758715)------------------------------
% 7.33/1.87 % (2758715)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758715)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758715)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758715)Termination reason: Instruction limit
% 7.33/1.87 % (2758715)Termination phase: Saturation
% 7.33/1.87 % (2758715)Time elapsed: 0.122 s
% 7.33/1.87 % (2758715)Peak memory usage: 90 MB
% 7.33/1.87 % (2758715)Instructions burned: 181 (million)
% 7.33/1.87 % (2758725)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2206985486: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)
% 7.33/1.87 % (2758726)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=793755112:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 7.33/1.87 % (2758725)Refutation not found, incomplete strategy
% 7.33/1.87 % (2758725)------------------------------
% 7.33/1.87 % (2758725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758725)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758725)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.87 % (2758725)Time elapsed: 0.022 s
% 7.33/1.87 % (2758725)Peak memory usage: 89 MB
% 7.33/1.87 % (2758725)Instructions burned: 39 (million)
% 7.33/1.87 % (2758726)Refutation not found, incomplete strategy
% 7.33/1.87 % (2758726)------------------------------
% 7.33/1.87 % (2758726)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758726)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758726)Termination reason: Refutation not found, incomplete strategy
% 7.33/1.87 % (2758726)Time elapsed: 0.019 s
% 7.33/1.87 % (2758726)Peak memory usage: 88 MB
% 7.33/1.87 % (2758726)Instructions burned: 31 (million)
% 7.33/1.87 % (2758719)------------------------------
% 7.33/1.87 % (2758719)------------------------------
% 7.33/1.87 % (2758728)lrs+10_64_to=lpo:sil=8000:random_seed=1919477876:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 7.33/1.87 % (2758731)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1543019618:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 7.33/1.87 % (2758728)Instruction limit reached!
% 7.33/1.87 % (2758728)------------------------------
% 7.33/1.87 % (2758728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758728)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758728)Termination reason: Instruction limit
% 7.33/1.87 % (2758728)Termination phase: Saturation
% 7.33/1.87 % (2758728)Time elapsed: 0.080 s
% 7.33/1.87 % (2758728)Peak memory usage: 90 MB
% 7.33/1.87 % (2758728)Instructions burned: 126 (million)
% 7.33/1.87 % (2758731)Instruction limit reached!
% 7.33/1.87 % (2758731)------------------------------
% 7.33/1.87 % (2758731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758731)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758731)Termination reason: Instruction limit
% 7.33/1.87 % (2758731)Termination phase: Saturation
% 7.33/1.87 % (2758731)Time elapsed: 0.065 s
% 7.33/1.87 % (2758731)Peak memory usage: 90 MB
% 7.33/1.87 % (2758731)Instructions burned: 195 (million)
% 7.33/1.87 % (2758725)------------------------------
% 7.33/1.87 % (2758725)------------------------------
% 7.33/1.87 % (2758726)------------------------------
% 7.33/1.87 % (2758726)------------------------------
% 7.33/1.87 % (2758735)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=211432986:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 7.33/1.87 % (2758734)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=451995899:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 7.33/1.87 % (2758734)Instruction limit reached!
% 7.33/1.87 % (2758734)------------------------------
% 7.33/1.87 % (2758734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.33/1.87 % (2758734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.33/1.87 % (2758734)CaDiCaL version: 2.1.3
% 7.33/1.87 % (2758734)Termination reason: Instruction limit
% 7.33/1.87 % (2758734)Termination phase: Saturation
% 7.33/1.87 % (2758734)Time elapsed: 0.099 s
% 7.33/1.87 % (2758734)Peak memory usage: 91 MB
% 7.33/1.87 % (2758734)Instructions burned: 158 (million)
% 7.33/1.87 % (2758736)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=3414682565:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 7.33/1.87 % (2758738)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4160337900:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 9.05/2.06 % (2758738)Refutation not found, incomplete strategy
% 9.05/2.06 % (2758738)------------------------------
% 9.05/2.06 % (2758738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.06 % (2758738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.06 % (2758738)CaDiCaL version: 2.1.3
% 9.05/2.06 % (2758738)Termination reason: Refutation not found, incomplete strategy
% 9.05/2.06 % (2758738)Time elapsed: 0.022 s
% 9.05/2.06 % (2758738)Peak memory usage: 89 MB
% 9.05/2.06 % (2758738)Instructions burned: 38 (million)
% 9.05/2.06 % (2758736)Instruction limit reached!
% 9.05/2.06 % (2758736)------------------------------
% 9.05/2.06 % (2758736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.06 % (2758736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.06 % (2758736)CaDiCaL version: 2.1.3
% 9.05/2.06 % (2758736)Termination reason: Instruction limit
% 9.05/2.06 % (2758736)Termination phase: Saturation
% 9.05/2.06 % (2758736)Time elapsed: 0.066 s
% 9.05/2.06 % (2758736)Peak memory usage: 89 MB
% 9.05/2.06 % (2758736)Instructions burned: 107 (million)
% 9.05/2.06 % (2758740)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=782038647:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 9.05/2.06 % (2758710)First to succeed.
% 9.05/2.06 % (2758710)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2758705"
% 9.05/2.06 % (2758743)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=941854439:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 9.05/2.06 % (2758740)Instruction limit reached!
% 9.05/2.06 % (2758740)------------------------------
% 9.05/2.06 % (2758740)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.06 % (2758740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.06 % (2758740)CaDiCaL version: 2.1.3
% 9.05/2.06 % (2758740)Termination reason: Instruction limit
% 9.05/2.06 % (2758740)Termination phase: Saturation
% 9.05/2.06 % (2758740)Time elapsed: 0.145 s
% 9.05/2.06 % (2758740)Peak memory usage: 90 MB
% 9.05/2.06 % (2758740)Instructions burned: 244 (million)
% 9.05/2.06 % (2758712)Also succeeded, but the first one will report.
% 9.05/2.06 % (2758738)------------------------------
% 9.05/2.06 % (2758738)------------------------------
% 9.05/2.06 % (2758711)Also succeeded, but the first one will report.
% 9.05/2.06 % (2758735)Also succeeded, but the first one will report.
% 9.05/2.06 % (2758746)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=4142688912:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 9.05/2.06 % (2758710)Refutation found. Thanks to Tanya!
% 9.05/2.06 % SZS status Unsatisfiable for theBenchmark
% 9.05/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.05/2.06 % (2758710)------------------------------
% 9.05/2.06 % (2758710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.05/2.06 % (2758710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.05/2.06 % (2758710)CaDiCaL version: 2.1.3
% 9.05/2.06 % (2758710)Termination reason: Refutation
% 9.05/2.06 % (2758710)Time elapsed: 0.776 s
% 9.05/2.06 % (2758710)Peak memory usage: 138 MB
% 9.05/2.06 % (2758710)Instructions burned: 1221 (million)
% 9.05/2.06 % (2758710)------------------------------
% 9.05/2.06 % (2758710)------------------------------
% 9.05/2.06 % (2758705)Success in time 1.228 s
% 9.05/2.06 % Vampire exiting
%------------------------------------------------------------------------------