%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:30:55 AM UTC 2026
% Result : Unsatisfiable 5.25s 1.58s
% Output : Refutation 5.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 10 unt; 2 def)
% Number of atoms : 46 ( 2 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 38 ( 19 ~; 17 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-3 aty)
% Number of variables : 13 ( 0 sgn 13 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3032,axiom,
! [X0] :
( ~ class_Ring__and__Field_Oordered__idom(X0)
| class_OrderedGroup_Oab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_4) ).
fof(f3048,axiom,
! [X0] :
( class_OrderedGroup_Opordered__ab__group__add(X0)
| ~ class_Ring__and__Field_Oordered__idom(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clsrel_Ring__and__Field_Oordered__idom_54) ).
fof(f3362,axiom,
! [X2,X0,X1] :
( ~ class_OrderedGroup_Oab__group__add(X0)
| X1 = c_plus(c_minus(X1,X2,X0),X2,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__10_0) ).
fof(f3363,plain,
! [X2,X0,X1] :
( c_plus(c_minus(X1,X2,X0),X2,X0) = X1
| ~ class_OrderedGroup_Oab__group__add(X0) ),
inference(reorient_equations,[],[f3362]) ).
fof(f3380,axiom,
! [X2,X3,X0,X1] :
( c_lessequals(c_minus(X1,X3,X0),X2,X0)
| ~ c_lessequals(X1,c_plus(X2,X3,X0),X0)
| ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OrderedGroup_Ocompare__rls__8_1) ).
fof(f3391,negated_conjecture,
! [X0] : c_lessequals(v_k(X0),v_f(X0),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3393,negated_conjecture,
~ c_lessequals(c_minus(v_k(v_x),v_g(v_x),t_b),c_minus(v_f(v_x),v_g(v_x),t_b),t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3394,negated_conjecture,
class_Ring__and__Field_Oordered__idom(t_b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',tfree_tcs) ).
fof(f3421,plain,
class_OrderedGroup_Oab__group__add(t_b),
inference(resolution,[],[f3394,f3032]) ).
fof(f3467,plain,
( ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)
| ~ class_OrderedGroup_Opordered__ab__group__add(t_b) ),
inference(resolution,[],[f3393,f3380]) ).
fof(f3479,definition,
( spl0_1
<=> class_OrderedGroup_Opordered__ab__group__add(t_b) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3481,plain,
( ~ class_OrderedGroup_Opordered__ab__group__add(t_b)
| spl0_1 ),
inference(avatar_component_clause,[],[f3479]) ).
fof(f3483,definition,
( spl0_2
<=> c_lessequals(v_k(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3485,plain,
( ~ c_lessequals(v_k(v_x),c_plus(c_minus(v_f(v_x),v_g(v_x),t_b),v_g(v_x),t_b),t_b)
| spl0_2 ),
inference(avatar_component_clause,[],[f3483]) ).
fof(f3486,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f3467,f3483,f3479]) ).
fof(f3626,plain,
( ~ class_Ring__and__Field_Oordered__idom(t_b)
| spl0_1 ),
inference(resolution,[],[f3481,f3048]) ).
fof(f3627,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f3626,f3394]) ).
fof(f3628,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f3627]) ).
fof(f3675,plain,
( ~ c_lessequals(v_k(v_x),v_f(v_x),t_b)
| ~ class_OrderedGroup_Oab__group__add(t_b)
| spl0_2 ),
inference(superposition,[],[f3485,f3363]) ).
fof(f3678,plain,
( ~ class_OrderedGroup_Oab__group__add(t_b)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3675,f3391]) ).
fof(f3685,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f3678,f3421]) ).
fof(f3686,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f3685]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f3486]) ).
cnf(s4,plain,
spl0_1,
inference(sat_conversion,[],[f3628]) ).
cnf(s11,plain,
spl0_2,
inference(sat_conversion,[],[f3686]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s1,s11,s4]) ).
fof(f3687,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ANA024-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n009.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 20:30:31 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 5.25/1.57 % (3421297)Input is clausal, will run a generic CNF schedule.
% 5.25/1.57 % (3421302)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=1316994276:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.25/1.57 % (3421305)lrs+10_1_sil=8000:sp=occurrence:random_seed=251734454:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.25/1.57 % (3421307)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2371971708:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.25/1.57 % (3421303)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2930836900:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.25/1.57 % (3421306)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2363289055:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.25/1.57 % (3421308)dis-21_1_sil=8000:lcm=predicate:random_seed=3594979243: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)
% 5.25/1.57 % (3421304)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2165876945:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.25/1.57 % (3421308)Instruction limit reached!
% 5.25/1.57 % (3421308)------------------------------
% 5.25/1.57 % (3421308)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.57 % (3421308)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.57 % (3421308)CaDiCaL version: 2.1.3
% 5.25/1.57 % (3421308)Termination reason: Instruction limit
% 5.25/1.57 % (3421308)Termination phase: Saturation
% 5.25/1.57 % (3421308)Time elapsed: 0.059 s
% 5.25/1.57 % (3421308)Peak memory usage: 90 MB
% 5.25/1.57 % (3421308)Instructions burned: 118 (million)
% 5.25/1.57 % (3421305)Instruction limit reached!
% 5.25/1.57 % (3421305)------------------------------
% 5.25/1.57 % (3421305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.57 % (3421305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.57 % (3421305)CaDiCaL version: 2.1.3
% 5.25/1.57 % (3421305)Termination reason: Instruction limit
% 5.25/1.57 % (3421305)Termination phase: Saturation
% 5.25/1.57 % (3421305)Time elapsed: 0.070 s
% 5.25/1.57 % (3421305)Peak memory usage: 90 MB
% 5.25/1.57 % (3421305)Instructions burned: 108 (million)
% 5.25/1.57 % (3421306)Instruction limit reached!
% 5.25/1.57 % (3421306)------------------------------
% 5.25/1.57 % (3421306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.57 % (3421306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.57 % (3421306)CaDiCaL version: 2.1.3
% 5.25/1.57 % (3421306)Termination reason: Instruction limit
% 5.25/1.57 % (3421306)Termination phase: Saturation
% 5.25/1.57 % (3421306)Time elapsed: 0.072 s
% 5.25/1.57 % (3421306)Peak memory usage: 90 MB
% 5.25/1.57 % (3421306)Instructions burned: 115 (million)
% 5.25/1.57 % (3421307)Instruction limit reached!
% 5.25/1.57 % (3421307)------------------------------
% 5.25/1.57 % (3421307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.57 % (3421307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.58 % (3421307)CaDiCaL version: 2.1.3
% 5.25/1.58 % (3421307)Termination reason: Instruction limit
% 5.25/1.58 % (3421307)Termination phase: Saturation
% 5.25/1.58 % (3421307)Time elapsed: 0.108 s
% 5.25/1.58 % (3421307)Peak memory usage: 91 MB
% 5.25/1.58 % (3421307)Instructions burned: 180 (million)
% 5.25/1.58 % (3421316)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=407515894:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.25/1.58 % (3421316)Refutation not found, incomplete strategy
% 5.25/1.58 % (3421316)------------------------------
% 5.25/1.58 % (3421316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.58 % (3421316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.58 % (3421316)CaDiCaL version: 2.1.3
% 5.25/1.58 % (3421316)Termination reason: Refutation not found, incomplete strategy
% 5.25/1.58 % (3421316)Time elapsed: 0.009 s
% 5.25/1.58 % (3421316)Peak memory usage: 90 MB
% 5.25/1.58 % (3421316)Instructions burned: 12 (million)
% 5.25/1.58 % (3421318)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=930814155:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.25/1.58 % (3421317)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1925362553: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)
% 5.25/1.58 % (3421319)lrs+10_64_to=lpo:sil=8000:random_seed=3316555813:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.25/1.58 % (3421318)First to succeed.
% 5.25/1.58 % (3421318)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3421297"
% 5.25/1.58 % (3421319)Instruction limit reached!
% 5.25/1.58 % (3421319)------------------------------
% 5.25/1.58 % (3421319)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.58 % (3421319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.58 % (3421319)CaDiCaL version: 2.1.3
% 5.25/1.58 % (3421319)Termination reason: Instruction limit
% 5.25/1.58 % (3421319)Termination phase: Saturation
% 5.25/1.58 % (3421319)Time elapsed: 0.071 s
% 5.25/1.58 % (3421319)Peak memory usage: 91 MB
% 5.25/1.58 % (3421319)Instructions burned: 126 (million)
% 5.25/1.58 % (3421317)Instruction limit reached!
% 5.25/1.58 % (3421317)------------------------------
% 5.25/1.58 % (3421317)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.58 % (3421317)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.58 % (3421317)CaDiCaL version: 2.1.3
% 5.25/1.58 % (3421317)Termination reason: Instruction limit
% 5.25/1.58 % (3421317)Termination phase: Saturation
% 5.25/1.58 % (3421317)Time elapsed: 0.109 s
% 5.25/1.58 % (3421317)Peak memory usage: 92 MB
% 5.25/1.58 % (3421317)Instructions burned: 189 (million)
% 5.25/1.58 % (3421316)------------------------------
% 5.25/1.58 % (3421316)------------------------------
% 5.25/1.58 % (3421324)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1646421876:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.25/1.58 % (3421325)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3024303836:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.25/1.58 % (3421318)Refutation found. Thanks to Tanya!
% 5.25/1.58 % SZS status Unsatisfiable for theBenchmark
% 5.25/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.25/1.58 % (3421318)------------------------------
% 5.25/1.58 % (3421318)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.25/1.58 % (3421318)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.25/1.58 % (3421318)CaDiCaL version: 2.1.3
% 5.25/1.58 % (3421318)Termination reason: Refutation
% 5.25/1.58 % (3421318)Time elapsed: 0.042 s
% 5.25/1.58 % (3421318)Peak memory usage: 92 MB
% 5.25/1.58 % (3421318)Instructions burned: 69 (million)
% 5.25/1.58 % (3421318)------------------------------
% 5.25/1.58 % (3421318)------------------------------
% 5.25/1.58 % (3421297)Success in time 0.721 s
% 5.25/1.58 % Vampire exiting
%------------------------------------------------------------------------------