%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : MSC023_2 : TPTP v9.3.1. Released v5.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 12:05:41 PM UTC 2026
% Result : Theorem 5.07s 1.58s
% Output : Refutation 5.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 2
% Syntax : Number of formulae : 10 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 13 ( 3 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 2 |; 0 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 35 ( 0 atm; 9 fun; 14 num; 12 var)
% Number of types : 2 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 0 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 10 !; 2 ?; 12 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_6,type,
9/5: $real > $real ).
tff(func_def_9,type,
-1/1: $real > $real ).
tff(func_def_10,type,
419/1: $real > $real ).
tff(func_def_11,type,
-9/5: $real > $real ).
tff(func_def_12,type,
2095/9: $real > $real ).
tff(pred_def_1,type,
celsius_fahrenheit_temperature_conversion: ( $real * $real ) > $o ).
tff(f1,axiom,
! [X0: $real,X1: $real] :
( ( $sum($product(9/5,X0),32/1) = X1 )
=> celsius_fahrenheit_temperature_conversion(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',celsius_fahrenheit_temperature_conversion) ).
tff(f2,conjecture,
? [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,451/1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fahrenheit_451_to_celsius) ).
tff(f3,negated_conjecture,
~ ? [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,451/1),
inference(negated_conjecture,[status(cth)],[f2]) ).
tff(f4,plain,
! [X0: $real,X1: $real] :
( ( $sum($product(9/5,X0),32/1) != X1 )
| celsius_fahrenheit_temperature_conversion(X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
tff(f5,plain,
! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(X0,451/1),
inference(ennf_transformation,[],[f3]) ).
tff(f6,plain,
! [X0: $real,X1: $real] :
( ( $sum($product(9/5,X0),32/1) != X1 )
| celsius_fahrenheit_temperature_conversion(X0,X1) ),
inference(cnf_transformation,[],[f4]) ).
tff(f7,plain,
! [X0: $real] : ~ celsius_fahrenheit_temperature_conversion(X0,451/1),
inference(cnf_transformation,[],[f5]) ).
tff(f8,plain,
! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum($product(9/5,X0),32/1)),
inference(equality_resolution,[],[f6]) ).
tff(f9,plain,
! [X0: $real] : celsius_fahrenheit_temperature_conversion(X0,$sum(32/1,9/5(X0))),
inference(alasca_normalization,[],[f8]) ).
tff(f10,plain,
$false,
inference(resolution,[],[f9,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : MSC023_2 : TPTP v9.3.1. Released v5.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.35 % Computer : n008.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Sun Sep 27 17:44:09 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.35 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 3.49/1.48 % (1491404)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.49/1.48 % (1491413)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=21135499:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.49/1.48 % (1491413)Instruction limit reached!
% 3.49/1.48 % (1491413)------------------------------
% 3.49/1.48 % (1491413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491413)CaDiCaL version: 2.1.3
% 3.49/1.48 % (1491413)Termination reason: Instruction limit
% 3.49/1.48 % (1491413)Termination phase: Saturation
% 3.49/1.48 % (1491413)Time elapsed: 0.002 s
% 3.49/1.48 % (1491413)Peak memory usage: 88 MB
% 3.49/1.48 % (1491413)Instructions burned: 4 (million)
% 3.49/1.48 % (1491412)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3066701778:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.49/1.48 % (1491411)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3269901533:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.49/1.48 % (1491409)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3033075762:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.49/1.48 % (1491414)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=350093853:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.49/1.48 % (1491415)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=3269695334:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.49/1.48 % (1491410)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=816466358:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.49/1.48 % (1491412)Instruction limit reached!
% 3.49/1.48 % (1491412)------------------------------
% 3.49/1.48 % (1491412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491412)CaDiCaL version: 2.1.3
% 3.49/1.48 % (1491412)Termination reason: Instruction limit
% 3.49/1.48 % (1491412)Termination phase: Saturation
% 3.49/1.48 % (1491412)Time elapsed: 0.005 s
% 3.49/1.48 % (1491412)Peak memory usage: 88 MB
% 3.49/1.48 % (1491412)Instructions burned: 7 (million)
% 3.49/1.48 % (1491409)Refutation not found, incomplete strategy
% 3.49/1.48 % (1491409)------------------------------
% 3.49/1.48 % (1491409)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491409)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491409)CaDiCaL version: 2.1.3
% 3.49/1.48 % (1491410)Refutation not found, incomplete strategy
% 3.49/1.48 % (1491410)------------------------------
% 3.49/1.48 % (1491410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491409)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.48 % (1491409)Time elapsed: 0.027 s
% 3.49/1.48 % (1491410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491409)Peak memory usage: 111 MB
% 3.49/1.48 % (1491409)Instructions burned: 5 (million)
% 3.49/1.48 % (1491410)CaDiCaL version: 2.1.3
% 3.49/1.48 % (1491410)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.48 % (1491410)Time elapsed: 0.027 s
% 3.49/1.48 % (1491410)Peak memory usage: 111 MB
% 3.49/1.48 % (1491410)Instructions burned: 5 (million)
% 3.49/1.48 % (1491414)Refutation not found, incomplete strategy
% 3.49/1.48 % (1491414)------------------------------
% 3.49/1.48 % (1491414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491414)CaDiCaL version: 2.1.3
% 3.49/1.48 % (1491414)Termination reason: Refutation not found, incomplete strategy
% 3.49/1.48 % (1491414)Time elapsed: 0.029 s
% 3.49/1.48 % (1491414)Peak memory usage: 111 MB
% 3.49/1.48 % (1491414)Instructions burned: 5 (million)
% 3.49/1.48 % (1491415)Instruction limit reached!
% 3.49/1.48 % (1491415)------------------------------
% 3.49/1.48 % (1491415)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.49/1.48 % (1491415)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.49/1.48 % (1491415)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491415)Termination reason: Instruction limit
% 5.07/1.57 % (1491415)Termination phase: Saturation
% 5.07/1.57 % (1491415)Time elapsed: 0.045 s
% 5.07/1.57 % (1491415)Peak memory usage: 114 MB
% 5.07/1.57 % (1491415)Instructions burned: 34 (million)
% 5.07/1.57 % (1491417)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=3517483293:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 5.07/1.57 % (1491417)Refutation not found, incomplete strategy
% 5.07/1.57 % (1491417)------------------------------
% 5.07/1.57 % (1491417)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491417)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491417)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491417)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.57 % (1491417)Time elapsed: 0.0000 s
% 5.07/1.57 % (1491417)Peak memory usage: 88 MB
% 5.07/1.57 % (1491411)Instruction limit reached!
% 5.07/1.57 % (1491411)------------------------------
% 5.07/1.57 % (1491411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491411)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491411)Termination reason: Instruction limit
% 5.07/1.57 % (1491411)Termination phase: Saturation
% 5.07/1.57 % (1491411)Time elapsed: 0.144 s
% 5.07/1.57 % (1491411)Peak memory usage: 113 MB
% 5.07/1.57 % (1491411)Instructions burned: 201 (million)
% 5.07/1.57 % (1491424)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=998537919:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 5.07/1.57 % (1491424)Instruction limit reached!
% 5.07/1.57 % (1491424)------------------------------
% 5.07/1.57 % (1491424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491424)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491424)Termination reason: Instruction limit
% 5.07/1.57 % (1491424)Termination phase: Saturation
% 5.07/1.57 % (1491424)Time elapsed: 0.016 s
% 5.07/1.57 % (1491424)Peak memory usage: 88 MB
% 5.07/1.57 % (1491424)Instructions burned: 30 (million)
% 5.07/1.57 % (1491425)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=2897730572:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2997 on theBenchmark for (2997ds/16Mi)
% 5.07/1.57 % (1491425)First to succeed.
% 5.07/1.57 % (1491425)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1491404"
% 5.07/1.57 % (1491417)------------------------------
% 5.07/1.57 % (1491417)------------------------------
% 5.07/1.57 % (1491414)------------------------------
% 5.07/1.57 % (1491414)------------------------------
% 5.07/1.57 % (1491409)------------------------------
% 5.07/1.57 % (1491409)------------------------------
% 5.07/1.57 % (1491410)------------------------------
% 5.07/1.57 % (1491410)------------------------------
% 5.07/1.57 % (1491427)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=2733973384:i=24:canc=force:rtra=on_2996 on theBenchmark for (2996ds/24Mi)
% 5.07/1.57 % (1491427)Instruction limit reached!
% 5.07/1.57 % (1491427)------------------------------
% 5.07/1.57 % (1491427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491427)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491427)Termination reason: Instruction limit
% 5.07/1.57 % (1491427)Termination phase: Saturation
% 5.07/1.57 % (1491427)Time elapsed: 0.015 s
% 5.07/1.57 % (1491427)Peak memory usage: 89 MB
% 5.07/1.57 % (1491427)Instructions burned: 24 (million)
% 5.07/1.57 % (1491429)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=126938377:i=27:canc=cautious:fsr=off:rtra=on_2996 on theBenchmark for (2996ds/27Mi)
% 5.07/1.57 % (1491429)Refutation not found, incomplete strategy
% 5.07/1.57 % (1491429)------------------------------
% 5.07/1.57 % (1491429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491429)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491429)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.57 % (1491429)Time elapsed: 0.001 s
% 5.07/1.57 % (1491429)Peak memory usage: 89 MB
% 5.07/1.57 % (1491431)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=218745255:i=85:gtgl=4:rtra=on:gtg=exists_sym_2995 on theBenchmark for (2995ds/85Mi)
% 5.07/1.57 % (1491431)Instruction limit reached!
% 5.07/1.57 % (1491431)------------------------------
% 5.07/1.57 % (1491431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491431)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491431)Termination reason: Instruction limit
% 5.07/1.57 % (1491431)Termination phase: Saturation
% 5.07/1.57 % (1491431)Time elapsed: 0.026 s
% 5.07/1.57 % (1491431)Peak memory usage: 89 MB
% 5.07/1.57 % (1491431)Instructions burned: 86 (million)
% 5.07/1.57 % (1491433)dis+1010_1_to=kbo:sil=128000:tgt=full:si=on:tha=off:random_seed=3811747440:i=181:rtra=on:ss=axioms:ev=cautious_2995 on theBenchmark for (2995ds/181Mi)
% 5.07/1.57 % (1491433)Refutation not found, incomplete strategy
% 5.07/1.57 % (1491433)------------------------------
% 5.07/1.57 % (1491433)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491433)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.57 % (1491433)CaDiCaL version: 2.1.3
% 5.07/1.57 % (1491433)Termination reason: Refutation not found, incomplete strategy
% 5.07/1.57 % (1491433)Time elapsed: 0.0000 s
% 5.07/1.57 % (1491433)Peak memory usage: 87 MB
% 5.07/1.57 % (1491432)ott+1002_1_si=on:sp=occurrence:spb=goal:lcm=predicate:random_seed=3890260291:i=2:bd=preordered:nm=2:ins=3:rtra=on:inst=on:tar=off_2995 on theBenchmark for (2995ds/2Mi)
% 5.07/1.57 % (1491434)lrs+10_2_to=lpo:sil=64000:si=on:sos=on:gve=force:lcm=reverse:uwa=one_side_interpreted:random_seed=2586493195:i=4:ep=RST:ins=2:rtra=on_2995 on theBenchmark for (2995ds/4Mi)
% 5.07/1.57 % (1491434)Also succeeded, but the first one will report.
% 5.07/1.57 % (1491432)Instruction limit reached!
% 5.07/1.57 % (1491432)------------------------------
% 5.07/1.57 % (1491432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.57 % (1491432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.58 % (1491432)CaDiCaL version: 2.1.3
% 5.07/1.58 % (1491432)Termination reason: Instruction limit
% 5.07/1.58 % (1491432)Termination phase: Saturation
% 5.07/1.58 % (1491432)Time elapsed: 0.003 s
% 5.07/1.58 % (1491432)Peak memory usage: 88 MB
% 5.07/1.58 % (1491432)Instructions burned: 4 (million)
% 5.07/1.58 % (1491425)Refutation found. Thanks to Tanya!
% 5.07/1.58 % SZS status Theorem for theBenchmark
% 5.07/1.58 % SZS output start Proof for theBenchmark
% See solution above
% 5.07/1.58 % (1491425)------------------------------
% 5.07/1.58 % (1491425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.07/1.58 % (1491425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.07/1.58 % (1491425)CaDiCaL version: 2.1.3
% 5.07/1.58 % (1491425)Termination reason: Refutation
% 5.07/1.58 % (1491425)Time elapsed: 0.003 s
% 5.07/1.58 % (1491425)Peak memory usage: 90 MB
% 5.07/1.58 % (1491425)Instructions burned: 1 (million)
% 5.07/1.58 % (1491425)------------------------------
% 5.07/1.58 % (1491425)------------------------------
% 5.07/1.58 % (1491404)Success in time 0.654 s
% 5.07/1.58 % Vampire exiting
%------------------------------------------------------------------------------